Paper Citation Record · LEDGER

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures

As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2508.21211.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.21211 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:37:09.283948Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy27
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e986c8f1-74e1-4c4e-97de-e91449927098 · outbound

This paper cites 2(b) and 2(c), respectively.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures 2(b) and 2(c), respectively

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:13.350432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 47911fd4-3857-4fed-a0c9-e2a474ef7d31 · outbound

This paper cites Remarkably, and maybe counter-intuitively, the largest gap is found right below the phase transition, although the order nearly vanishes in this regime.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Remarkably, and maybe counter-intuitively, the largest gap is found right below the phase transition, although the order nearly vanishes in this regime

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:13.152320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b2decfa0-2326-4964-8b02-3b0c900f08eb · outbound

This paper cites 2(b) and 2(c).

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures 2(b) and 2(c)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:12.926367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b9f8c258-3365-4928-b163-05c052cd059e · outbound

This paper cites W ¨olfle, Quasiparticles in condensed matter systems, Reports on Progress in Physics 81, 032501 (2018).

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures W ¨olfle, Quasiparticles in condensed matter systems, Reports on Progress in Physics 81, 032501 (2018)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:12.750128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 762457dd-a8cd-4772-9d14-e3fcc24a0340 · outbound

This paper cites Kittel, Quantum Theory of Solids , 2nd ed.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Kittel, Quantum Theory of Solids , 2nd ed

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:12.582384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 53dac6cd-108e-49d6-bafe-ca23cffcb7a1 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:12.411705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4252626c-0ba0-430d-bf2a-187cac1b95ef · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:12.286212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8de27bfc-6cfc-405f-9854-4439d090c223 · outbound

This paper cites Lakshmanan and R.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Lakshmanan and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:12.102772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 37f48995-5be8-4f8b-977c-41c40a48fbe7 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:11.961034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2de87e97-5a7f-465e-affe-2895f3184120 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:11.795146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 570b6909-f020-4aa0-9514-28608a5aa531 · outbound

This paper cites Wehinger, A.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Wehinger, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:11.626807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 129bbf85-ca0a-43b6-ad06-eb40fafbc26c · outbound

This paper cites Cs ´aki, C.-S.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Cs ´aki, C.-S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:11.402148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f215986b-9539-43f5-a0dc-942bada2abcb · outbound

This paper cites Arkani-Hamed, A.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Arkani-Hamed, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:11.176057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 40b85f58-7407-466a-8e46-13a6a92ec683 · outbound

This paper cites Arkani-Hamed, A.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Arkani-Hamed, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:10.955528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4620a951-8fbc-413f-9227-53c7cd86d08a · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T14:37:09.072908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cf75054-6750-485e-909f-ffc77091b3bb · outbound

This paper cites Gohlke, L.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Gohlke, L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:10.736989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a285fe5-8c88-4fd5-85dc-afe11c60a291 · outbound

This paper cites Khatua, M.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Khatua, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:10.535857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 87ddcc89-af27-42a2-b3a6-221062fe2a3a · outbound

This paper cites Universal temperature-dependent power law excitation gaps in frustrated quantum spin systems harboring order-by-disorder.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Universal temperature-dependent power law excitation gaps in frustrated quantum spin systems harboring order-by-disorder

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T14:37:09.092634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5355a39-000e-483a-8f5e-0c17be0f323f · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:10.350608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17f5634b-8bbb-41db-b003-726885548c12 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:10.164126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e0a48559-6519-4dd6-aefd-a979007d1319 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:10.115511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7ff6898c-68e6-4250-b002-54b90fe8665f · outbound

This paper cites Rastelli, A.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Rastelli, A

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T14:37:09.120094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1fcf2e2-1866-4934-8472-7fdc92a217aa · outbound

This paper cites Below a certain temperature, finite systems appear magnetically ordered when the correlation length becomes comparable to the system size.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Below a certain temperature, finite systems appear magnetically ordered when the correlation length becomes comparable to the system size

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:10.016374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 25000307-7028-4af5-a283-df19974f3ec9 · outbound

This paper cites Seabra, P.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Seabra, P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.965764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 58a57411-20e8-4cc9-8776-a0d70dd94a98 · outbound

This paper cites It also includes Refs.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures It also includes Refs

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.943415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 58f00345-e901-47cb-b585-2014baed19a4 · outbound

This paper cites By considering systems with spin spiral ground states, we avoid such accidental zero modes.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures By considering systems with spin spiral ground states, we avoid such accidental zero modes

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.903066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 25fd0dd8-d09a-4fa3-bd8c-354847009702 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:09.880244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17a497be-0f4a-4eb1-83fc-3720702a50c2 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:09.837851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 722ad314-51fa-4643-8811-7d1a21ef6200 · outbound

This paper cites Savary, K.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Savary, K

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.813900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0085a6d9-9f36-4baf-8b48-8fc8b6da3930 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:09.785461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8d382f94-df5e-4be2-b861-89d7cce84471 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:09.760950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bd42267a-5ece-4601-b6cc-7eae2b4db6d2 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:09.725389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5ba4170d-b03a-474f-a543-2d4eca057427 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:09.700527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 41fa83c0-de99-40f7-a101-6037cb7f7766 · outbound

This paper cites Ahnert and M.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Ahnert and M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.680781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3379ade3-f370-47c2-8f41-08d8929f8d86 · outbound

This paper cites Zhang, H.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Zhang, H

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.645183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 106ed167-1586-468a-9090-b05b366415d0 · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T14:37:09.218183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c3d5ac0-2bb5-4f39-a20e-4f747f422c4c · outbound

This paper cites Holstein and H.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Holstein and H

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T14:37:09.223887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5072af04-965c-44f7-9f25-c790e1ec8d1a · outbound

This paper cites Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.592504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d6cb9ab-9b7a-4dc8-8486-ba22235094d9 · outbound

This paper cites First, it is useful to rewrite the perturbed state given in Eq.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures First, it is useful to rewrite the perturbed state given in Eq

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.572531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86cd7bfe-895f-42cd-a161-11a26b20f747 · outbound

This paper cites (S1), generalized to the equal superposition of the two quartic perturbations Sz i ∼ δ[cos(QaB1 · ri) + cos(QaB2 · ri)].

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures (S1), generalized to the equal superposition of the two quartic perturbations Sz i ∼ δ[cos(QaB1 · ri) + cos(QaB2 · ri)]

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.552271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6e3a935c-e3af-49d4-ba6b-a72be48a3c2c · outbound

This paper cites These equations correspond to the Landau-Lifshitz equations without the damping term [S2].

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures These equations correspond to the Landau-Lifshitz equations without the damping term [S2]

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.530661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 556cac44-6ed7-45fe-8476-ebca2d1d0ea1 · outbound

This paper cites To compute S(QaB, ω), we follow the approach of Ref.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures To compute S(QaB, ω), we follow the approach of Ref

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.499970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1b598226-3028-448c-832d-a1f25a7e9139 · outbound

This paper cites (S1) The value of the gap corresponds to the position of the maximum, given byx0.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures (S1) The value of the gap corresponds to the position of the maximum, given byx0

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.471415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 37480869-5542-4167-be4e-01f886890ecc · outbound

This paper cites (6) of the main text, which describes the gap behavior derived from the phenomenological model.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures (6) of the main text, which describes the gap behavior derived from the phenomenological model

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.443406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 71ae3dcd-3c60-4e0d-b408-cc3cad83e4ed · outbound

This paper cites an unresolved cited work.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:37:09.419826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6747ccb4-2f31-403a-9379-7bcee653cec3 · outbound

This paper cites As shown in Fig.

Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures As shown in Fig

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:37:09.379255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.