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Paper Citation Record · LEDGER

Defect-Mediated Melting of Square-Lattice Solids

As of 18 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2507.16418.

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

pith.paper-citation-record.v1
2507.16418 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:29:15.952935Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:29:14.142694Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T18:20:04.929646Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b2151f9-86e5-4379-a42e-7e919b1064ce · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:20.064679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:14.208343Z digest=sha256:4f4220ec8fce0fb9199c7fa88b49760de9af404088f113c2c603af906d61fbc0

Observation 02e83a34-cc68-4265-8cd5-4caf6041ff50 · outbound

This paper cites We will denote the ratioγ µ by ϕ ≡ γ µ.

Defect-Mediated Melting of Square-Lattice Solids We will denote the ratioγ µ by ϕ ≡ γ µ

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:19.858918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:14.285370Z digest=sha256:52168bb67a5341a4d5361fc0f2ed429530d7892175f0eab0a2c19c9decaff5a0

Observation 65d7a017-e3d6-4631-a4ea-b6364e6f49d2 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.838224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.838224Z digest=sha256:269b39753af6c3317e3b6af345e65ff4eb0627b60628f193b4425fa6f594bae1

Observation fe43bdef-51bf-419b-9f97-3e929f013e47 · outbound

This paper cites Defect-Mediated Melting of Square-Lattice Solids.

Defect-Mediated Melting of Square-Lattice Solids Defect-Mediated Melting of Square-Lattice Solids

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.142694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.142694Z digest=sha256:1df3aa9a914164cc69e1ce11dad89ad34a8560eb4d9fd5c8b920537134cb5e85

Observation 8fb4a82c-4b09-473b-a3a6-418bb8849147 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:19.707207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:14.408325Z digest=sha256:bacf5fd8420f54f8296371e0ef1d41d85faae447e34664157ebb98693677800a

Observation 62977fd0-7c93-41ea-a3e9-ae68c8befe4a · outbound

This paper cites At the transition from the intermediate phase to the liquid, ηn obtains a universal value.

Defect-Mediated Melting of Square-Lattice Solids At the transition from the intermediate phase to the liquid, ηn obtains a universal value

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:19.558057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:14.500787Z digest=sha256:1edc7faf6a2d7d8bbb7072614a5c1dcd51615aaf016d0aec84a2374b3cef1ea7

Observation 80e211e2-7f15-4671-9fc0-ece753584105 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.605313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.605313Z digest=sha256:dbdcb8036a8bee57b565b33718873db218a5c57776de08a4b371a80dfadcd6dd

Observation 696c3374-7691-4a59-a0e3-4efbf4e0bac2 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:19.319205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:14.731911Z digest=sha256:60a6ead903dab6ef880c9a8123118d3a53fa6f24cb41a1cc8772cfe64ffb2ac0

Observation d4e7bb6a-4c4d-4757-b2dd-1159c234577b · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:19.024100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:14.966475Z digest=sha256:506d505848e070d457783553785f8b24e15eb450e11ac308b7fb7b700a76b73e

Observation 595c412d-ea2b-4781-9a05-3ee4829a9e81 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:18.784730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.049158Z digest=sha256:412718e0f522fbf9ed41e471ba413609887cc047e82fe592de6cf113e934e72f

Observation 7db35b67-54ae-470f-a41c-25b9dc6d7757 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:18.459698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.139179Z digest=sha256:c015d5bc7b5391567bf82df10822f09e8d4c90d68082dcee0f54dc89adbdf0e8

Observation 9ea819bd-e5e9-40c6-b911-3d6660157d73 · outbound

This paper cites Jaster, Computer simulations of the two-dimensional melting transition using hard disks, Phys.

Defect-Mediated Melting of Square-Lattice Solids Jaster, Computer simulations of the two-dimensional melting transition using hard disks, Phys

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:18.212024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.225009Z digest=sha256:2393556e5474c7a24cfd7c44962354f8a832b6b37663cae64068cd5fbc769741

Observation fa54037a-aa44-4fd7-a5b1-48254b2346a0 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:17.937055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.304062Z digest=sha256:7e2518571662ef311da22297d6407a75a8e7567839f46dcf8a77db6aca14e9e9

Observation 14c15776-49c9-49b8-957b-83e581ba37f4 · outbound

This paper cites Zhanglin, Y.

Defect-Mediated Melting of Square-Lattice Solids Zhanglin, Y

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:17.614816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.388816Z digest=sha256:9e8f8a11cede79a5bc43ea206c635016d3674b670f8973784f802f747d3c57df

Observation a5f8570a-3f7f-47bd-8ad7-c0f84508571e · outbound

This paper cites Abutbul and D.

Defect-Mediated Melting of Square-Lattice Solids Abutbul and D

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T15:29:16.137115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.471277Z digest=sha256:49408f45e3f6febfd539386126729c7b750159f04f5458b55a4e0788dec5641f

Observation cb7a619a-87a6-4214-b620-2fe20f0c4c21 · outbound

This paper cites Dertli and T.

Defect-Mediated Melting of Square-Lattice Solids Dertli and T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:17.270255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.550296Z digest=sha256:9146a7b95eef90e84393691ca010f46bb67102484ece3c3f370e50bc8c2622e1

Observation 4cfc3b55-ec48-4073-bd5c-ddb0ab9aaac7 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:29:17.023472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.620205Z digest=sha256:f99be799df6e1edd08e9db8e098f4a4b61407e8f9b248a3a52fe7b38a9c00f5b

Observation 84da2070-c0e9-48f2-9b4a-b090b874ed67 · outbound

This paper cites Walsh and N.

Defect-Mediated Melting of Square-Lattice Solids Walsh and N

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:16.748226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.702081Z digest=sha256:e6724d86d489f73a7e2a867207118614416e80a48ea860d6ee5ec034a45c8e05

Observation af15519c-ae38-4863-aa7f-1103468ebc2f · outbound

This paper cites Löffler, L.

Defect-Mediated Melting of Square-Lattice Solids Löffler, L

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:16.520400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.801398Z digest=sha256:68a02bb11ad84559b39cc9b9baa1fff5224d057e1a2711ce96090ade250ebbc5

Observation f746da0e-5e32-4bc0-9279-ad7338413917 · outbound

This paper cites an unresolved cited work.

Defect-Mediated Melting of Square-Lattice Solids Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:15.879241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:15.879241Z digest=sha256:0c3177518693d5928cbd5040db30d3b007461b70801b02e197420e8278856f78

Observation 077322ed-5b10-4ac7-8a9d-8b72e4f26cb8 · outbound

This paper cites Gopalakrishnan, J.

Defect-Mediated Melting of Square-Lattice Solids Gopalakrishnan, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:29:16.315854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T15:29:15.952935Z digest=sha256:9dc7e9b13e15eafd76c5f8ea2139a4af89d42eda1958e0eef41bd12a423c6b33

Pith citing papers

Observation fe43bdef-51bf-419b-9f97-3e929f013e47 · inbound

Defect-Mediated Melting of Square-Lattice Solids cites this paper.

Defect-Mediated Melting of Square-Lattice Solids Defect-Mediated Melting of Square-Lattice Solids

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T15:29:14.142694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:29:14.142694Z digest=sha256:1df3aa9a914164cc69e1ce11dad89ad34a8560eb4d9fd5c8b920537134cb5e85

Observation 154886ae-6f10-4720-b79d-4dac435ab6ee · inbound

Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem cites this paper.

Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem Defect-Mediated Melting of Square-Lattice Solids

Reference 95

Resolution
verified exact
local_arxiv, observed 2026-07-04T18:20:04.931208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-25T22:55:34.659853Z digest=sha256:263b08b49baee1e0f29a0a3e950b05e0a13d5e6784afd7b7fc102e4eccb7a8ef