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Paper Citation Record · LEDGER

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses

As of 17 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2505.08192.

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

pith.paper-citation-record.v1
2505.08192 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:13:15.526551Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:11:22.342485Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:11:22.876125Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e17054c0-0006-48f8-a0d3-afd73227340b · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:13:15.912837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.395585Z digest=sha256:64089fac0840d980f7f55fe8d2337007b6ba28ed633bfaa17cdb04ce3d51c304

Observation e3de3139-0cdc-45bc-9208-faa3481d24f7 · outbound

This paper cites Quantum sensing: Beyond the classical limits of precision.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Quantum sensing: Beyond the classical limits of precision

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T22:13:15.579512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.401448Z digest=sha256:69d8a3267bb3c2fce5b2aca82f7f954d91a0d1eed9219e395e147dc3e7687d1f

Observation 9eb40789-bcb9-497b-9e0f-ae8e124f7f32 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:13:15.900457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.407082Z digest=sha256:0ea0359c0785f356041c7aa36ab4b7361f4ef900a56a21dc45a23e904c8f7c7d

Observation f01cb919-d9e8-4ee1-bfcf-a2acecf7dd76 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.411041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.411041Z digest=sha256:5ccbe880831b253404ab9b9683e19a4baa04af8149bdc7e9a3e5b1d29cbc2b7d

Observation d815c7f7-e7d5-4b07-baf7-e38c67ae669b · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.416004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.416004Z digest=sha256:010204493d73669f629378bc7a04881c9114f58ce82afc4859fafca7b99a1b23

Observation 5a9e1fa0-90c6-4b39-9b8a-1e67a0482816 · outbound

This paper cites Dr´ eau, M.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Dr´ eau, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.871727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.420330Z digest=sha256:95fe2c01674c3fcfd14352b66046789a6d0a3a001dd1ae51d0b6d9130bc29511

Observation cdf9072f-1a7b-4fd1-b69c-a5b9161e426d · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:13:15.859456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.424821Z digest=sha256:80ecc8b45d09485148e51b538cbb711c3d58526591e1d3a2c08b1ceaece2d12c

Observation 1a5da09e-06d3-476e-9a13-f87ed61370af · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.428477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.428477Z digest=sha256:599b11ed8736891865bbcabd87a4ce5339b5b70d5c4426fec775c22014a7bc89

Observation af7200b3-6571-45e6-bab9-9702542a63a6 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.432164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.432164Z digest=sha256:3dbf13b6be365fa951197f9cdcc56f69110f3bc4cf039d0a7d08ae728701a6e8

Observation 197817f3-8920-4b2c-8eae-8b4258b07a6a · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:13:15.830788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.435826Z digest=sha256:73d8f461c6275fc5bac5314b0e5ef83a646e912c8a01bd8ed770ad566d455400

Observation 9b5d590d-fe4f-4078-8103-b3fece197093 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.439846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.439846Z digest=sha256:5f29ebb629b39d75c21116c3d52a993822fa65cea7143ca28b4594a62f5ef457

Observation 99e4cae8-eb57-4011-80b7-1d25ebceb1b8 · outbound

This paper cites Ozawa and N.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Ozawa and N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.810533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.443585Z digest=sha256:5e8737bd488c5c2dc7562fb41c5df84a4a96b26ec31340bcc5d62aefa89dcec4

Observation 48f3e188-19e1-4de9-95b0-d3c4ce50cc29 · outbound

This paper cites Pang and A.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Pang and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.797790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.447459Z digest=sha256:8cfb8166a3be1fefd50d7fc2bb83c98f2d446776d6aaad0614fe3cc2f57237f9

Observation ec6a65a5-43e7-4322-97e9-f0f9948e50c8 · outbound

This paper cites Giovannetti, S.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Giovannetti, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.783985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.451014Z digest=sha256:865664dcdb7192861921072a39fb7f6625ee42851a7e474c334c31ef9753d399

Observation 0c4fb18c-7af1-44d8-b1cd-6d25ac847418 · outbound

This paper cites Giovannetti, S.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Giovannetti, S

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.454764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.454764Z digest=sha256:894222ff99a4fda561c18edf791f9e8ce6d3cc419962756330495635bb7f3b5f

Observation a9a7b59f-c861-4aa6-87c7-85be78b55d2e · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.458318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.458318Z digest=sha256:8f962299842e4c158437725ee527ab2daa43855dbb0bd78870234bed7b77ef14

Observation 0434cde4-1094-4f31-90e3-aab6898085ce · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.461879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.461879Z digest=sha256:500a263727fba9494e8f294f82a311d4a918e1cba5c124bfbd8393f5b4957c22

Observation 48993752-7303-45b1-8eaa-29176c6220e8 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.466056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.466056Z digest=sha256:78722fa38694e94274415eee39bc70836350393f6ba994778bfe8605a3f860bc

Observation a65a363a-50c9-4df9-8b36-62ae7f942550 · outbound

This paper cites Allen and J.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Allen and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.736447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.470591Z digest=sha256:c669d4956108f69e9a782be371074e73e300a99ec5adc69c8f154fb5f9699cdf

Observation d433d192-a0bd-4d46-a524-7dc59c632ca5 · outbound

This paper cites Rosen and C.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Rosen and C

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.723027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.474541Z digest=sha256:7992bc62002fa99cf66f10f2255f4905c478cfc2d96c86430792190d98ca4319

Observation fdedf72a-043a-4e92-8fdd-f43437943f54 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:13:15.710308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.478840Z digest=sha256:93e1100cbf2845c17069b64ba21b0a551d6ced59edb0fdb843ed80f9162ed19e

Observation 1c8ca75a-0dc2-4013-ae34-0594211e8431 · outbound

This paper cites Hioe, Physical Review A30, 2100 (1984).

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Hioe, Physical Review A30, 2100 (1984)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.697184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.482622Z digest=sha256:3146d0d130556359e16969ac06fc9c619c5e48c9d50b3e6f7fcd8edcfcb51c45

Observation 2f722ec3-2c46-44f2-ad21-3ca5af3fafae · outbound

This paper cites Hioe and C.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Hioe and C

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.486170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.486170Z digest=sha256:901915f870b595ffd850aad227faad96b366a78106be2555904b88dc914c0c53

Observation bdd2031b-2361-4012-b8e3-4f77f4717f19 · outbound

This paper cites Agarwal and L.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Agarwal and L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.677132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.490240Z digest=sha256:7ee6658da1d1e0b1c84e362a6b791e096fbb323613d2429412e84f9af0caf75d

Observation 0ccb8f63-2472-4772-b902-c8ba6f8d3e4c · outbound

This paper cites Demkowicz-Dobrza´ nski, M.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Demkowicz-Dobrza´ nski, M

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.494653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.494653Z digest=sha256:129499b76e1971bbeeed8fd4cd8b1b782901ebae3338f8437055904cd0f00c58

Observation b865cd92-f06d-4ec0-8e7e-6678658f48a3 · outbound

This paper cites Freeman,Spin choreography(Oxford University Press Oxford, 1998).

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Freeman,Spin choreography(Oxford University Press Oxford, 1998)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.656940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.498454Z digest=sha256:7dffcfef1539f8c7b5c251f8c6c28cb28e77a643b1e9378d69e7b92b860f584a

Observation ccc906a5-3fb5-47e0-b1d4-ddb9c1b08d35 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:13:15.645005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.502460Z digest=sha256:67dc423b747578891b20e892f157b97bfa7507e3b0e8cf2f0247524a28451f87

Observation 5959599a-7176-49cb-b264-f12e82775fa6 · outbound

This paper cites Brandi and P.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Brandi and P

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.633710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.506097Z digest=sha256:86db6fec3965f8b40adb1080ac45d8106050abf67e51ea05e825657c8e8e55a5

Observation af97f3c1-4f50-455f-857a-f6d9f70fa1aa · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.510836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.510836Z digest=sha256:57eabe75b07d59aa9c071fe837402a8dc3699745de712f9e2f718828a7a498b4

Observation 89d6a8e7-2a20-482e-9c1c-0650509c28d0 · outbound

This paper cites Solomon, Physical Review Letters2, 301 (1959).

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Solomon, Physical Review Letters2, 301 (1959)

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:13:15.613670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.515423Z digest=sha256:26c5b6cadaeaf8bd7d513fd87f8d52bccc60624eefa2369719976d4388329918

Observation 7d7ae466-a1a9-4381-a2e9-4c7ec105e88e · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:13:15.601466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T22:13:15.519247Z digest=sha256:f06578254697b46b46e7cf56dc5e27f310ac9f7e8d1a2c2bfd0cee52244a3bb1

Observation 9b24c191-d25a-4b01-a9a5-5227369d58d7 · outbound

This paper cites an unresolved cited work.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.523033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.523033Z digest=sha256:bffd0230e76e21aef3b12117edc735ff0f1183a0c052d9902fe4637b42c58a4f

Observation 753f2972-4792-4118-a926-3b26a9096423 · outbound

This paper cites The ultimate bounds to precision of atomic clock frequency measurement techniques.

Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses The ultimate bounds to precision of atomic clock frequency measurement techniques

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-15T22:13:15.526551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:13:15.526551Z digest=sha256:262cf1960e3040175c80fd2263c06080b0e2cf542f2cd021f79fe6bda6414d3f

Pith citing papers

Observation 5251d8e7-9b64-4e5f-b6fe-15205ea00970 · inbound

Optimal Waveforms for Dipole Moment Estimation with Coherent States cites this paper.

Optimal Waveforms for Dipole Moment Estimation with Coherent States Saturation of the Cram\'er-Rao Bound for the Atomic Resonance Frequency with Phased Array of Hyperbolic Secant Pulses

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:11:22.883506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:11:22.342485Z digest=sha256:1077f1ee64936d24c82f9edbeba1d8786f23c0f84b1177d1a6c42abb8097d6cd