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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=sha256:210f549a63e084af5237c4f56e1b9faee5520d29db89c1a4a5c548726d3e93c8

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:d58d549852740eb9773be85acb1536da77815c50272aa515b1aff96be64db965

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=sha256:214b36bdd41215a84aa4db9979a50486268cbc3f816ca2f094fcb3aad8f2efe0

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=sha256:959fdf6d4fb3bc492ccd88e2236768e3d43fd4766899a0ff65b61429deea2bf4

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=sha256:2865e56826814eed7a39115b16733e240bf56a7c0499b7acacef8d7f95b56dbe

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:e9c014179c2ec61775881e5ada3064a0c8ac60b67d6142308f1807543ef6fa21

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:c91d0905b422fa605d01565babb44aec2b7214859783d7be6af649cfb86a0455

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=sha256:7a7a50b1c0de8fa613b3d85900d4abfe3272f082e4b40878e0b13ee720c1c810

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=sha256:0d30726f33318fa2b5605730d403ff1133643ff643a0f41a847210b16734199a

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=sha256:416583afd671f5828c2147fda9f01e885f5bac9e14d1e43110f4f6e51f856534

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=sha256:3c450839826dce45076e9ad85a589349001aa107207160fa0780774a2723bf73

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:d33b207cc8e8c949cf19bf5cac7fe32ed51dee736d99f556fb54762bbd29e7fd

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=sha256:257992b537566c97cf7bddd6dff5334b544f1ba1a153831684f07affe216d4b0

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=sha256:70fe8dd03a718e7e97ccdbda2bb33fde895b259fc104640df04dbd4418ae4647

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=sha256:57857299d08d29e301fcbe5e5992d3cc3119bec3610394079cc71d9fd491e72a

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=sha256:92acdd56c090830357d2b58682f4090c2c1879f8c8a9f246b4e47122f1c4c0b8

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=sha256:9f8c1ccfcf51a818ef53b7d856d89bc7aa126991858e9b6b249a268130c253c2

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=sha256:6ad19a5050872c66c6d3125488dddb0fef7353bf64d4e92553d902635cef1415

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=sha256:1d5f07945e72f75d42ccb29e36cd149a0d52a500e20902f0d35c1711548981f5

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=sha256:1fb748b94309896da7d0514e1c7db85b01c8254eccf0e16481473e2f479a17ea

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=sha256:8c9bfc04002289df4d84843fdc52a15d6132ea949ba0d9c5a1c2a5c7379aa656

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=sha256:4e4ad9191ec32250bce73209506452c618422dd2a69d5e6ea164589f3cab3e2c

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=sha256:3e6dcb04caa03f26609c6bae39fa8ef8a77145728af72c4ea5dffda5a5301728

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:c0b7771bb5f42907bb18557d5a71c9e956fd3a8e06b484b5cb8bf3e4deb4551e

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:cc450eec8bf5bdb6916a8d57702a3f0f12a811e8434989af62b987c9de6c5337

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=sha256:9a82ed4033062b961d543b6a94eda042b20a668550edc15cf81c533dcd94c7d0

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=sha256:6306240935800e872a6cd9683bf20010c1274a9128a48d5ee180fffdc6914c00

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:ad26852a7357c62fb84c06c9e1785438f91a72b8ed024f1cbe7a4b4196c5f2c0

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=sha256:1a180cef2a445e5a00b33849110f8c4af02531938136a0840380f074a3692943

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=sha256:2d410acd7bcfa3923deb3ad3b34d0adb43635e5a7b888a04d560f29362330f45

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:d75cb195e3c63586cccb9da01312b6e99f996201addcb0cc8dfccfe02e2e9886

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=sha256:4b775e38b9e1696825cd85c26c734481721feee799420435ac5f9819cea71d49

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=sha256:384549170428e56bc225cda31d2fe212a4fa5f8bf2f54c28a517d0cb166a3468

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:bdae393034d48e52c0e6635017c61ce2f4437cfd25779267cb8775c253efcae6