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Paper Citation Record · LEDGER

Phase amplitude separation of wave function as local gauge transformation

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.23501.

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

pith.paper-citation-record.v1
2506.23501 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:49:27.353441Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ef3b75f-ef25-4000-b0ca-07dbb98c0849 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:30.195745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 12881158-0556-472b-92f1-8076d1b1c209 · outbound

This paper cites Fano and A.

Phase amplitude separation of wave function as local gauge transformation Fano and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:30.076236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 3b8735a3-025c-4546-9c5c-410bd5077be0 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:29.950466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.146004Z digest=sha256:af710890c069c23e01efb83516de20bad65684116e2ec00979e1145a8160af27

Observation c0541fa1-24d5-4fdc-bf3a-61c1dd160aa9 · outbound

This paper cites Greene, U.

Phase amplitude separation of wave function as local gauge transformation Greene, U

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:29.796416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.212568Z digest=sha256:36db4820c38da523b21b337169a2b4c4233729e233831d006bba42d30672f504

Observation fb901532-5614-4af5-b068-48f63782a312 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:29.656041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.253824Z digest=sha256:028a74be7aa40c9c3d6f1cf067a9e1df0276886965aecaa8be8cab3b8639d26b

Observation d18d11b1-34f3-415a-b164-21da6310d7ae · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:29.524031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.329455Z digest=sha256:042a59e27bd995762fa86ae4f6cd2b88caa6b1f4947646b4289ce7efae5f4ce1

Observation 228e6671-4c62-4e8c-a5f3-895fb533b9a5 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:29.365306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.377099Z digest=sha256:5c3b09d7c6370be9966e103253be4832dcdc334b4b3723d5e652e9287158b190

Observation 03af5ea0-a84a-4e7c-b1b1-0f84e7b7b808 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:29.244210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.449731Z digest=sha256:f2c7abd556c93db78b0428cda5f640bd43f4881f9c59648d54543bbdf1d1bb12

Observation 543484b8-5bc7-4f3d-a5d3-0735a06b538e · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:29.088040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.515182Z digest=sha256:db1c4f28c5b6b2e7cf0895b9477331d970d76165e0872699a6ba6caea984360a

Observation 9feacec6-4f8d-4029-a24f-ada09f416a1a · outbound

This paper cites Young, Phys.

Phase amplitude separation of wave function as local gauge transformation Young, Phys

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:28.945904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.581451Z digest=sha256:4ed39efba16a36f23ae8ba3ef09da05a0727db2beb9d1da6ce113469fd27c900

Observation 03e50f73-cdeb-4646-97bb-10efafa11382 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:28.787571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.650770Z digest=sha256:d72a36dc73765757ffc1aabd6f91c6713a1a46af88a8228a6a938c82527d53d4

Observation 52566a4b-5b00-4ab1-92e8-faedddf6bbda · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:28.628653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.707860Z digest=sha256:3e81e4b33429b4fc85f4f4908d0a232882e7618fac7c0bbe37b57aa7fc54e65b

Observation 026a8d91-6c64-4048-8bf2-f6cfa7813942 · outbound

This paper cites Dashen, Nuovo Cimento 28, 229 (1963).

Phase amplitude separation of wave function as local gauge transformation Dashen, Nuovo Cimento 28, 229 (1963)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:28.491030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.798088Z digest=sha256:77d6955071b9f3f18d9c093ffed454d6b592dcdf7266dacff6bee74c36450359

Observation 423ac768-56b3-4325-8032-d7a0abe09d27 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:28.358495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:26.977381Z digest=sha256:a92dcfc7e1419ecc413fc858d0cca8db9328d014df15e7b0a19ba8e2884a98b1

Observation 07ec631e-1968-49e7-b0d1-3cce8f22820e · outbound

This paper cites Calogero, Variable Phase Approach to Potential Scat- tering (Academic, New York, 1967).

Phase amplitude separation of wave function as local gauge transformation Calogero, Variable Phase Approach to Potential Scat- tering (Academic, New York, 1967)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:28.263258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:27.050791Z digest=sha256:d2d134295174c6319823925c6441084faee7a6e86bca55cff230824aff1aca29

Observation 166fff60-1e2d-419c-96f9-f609e9206cd8 · outbound

This paper cites Gerjuoy, A.

Phase amplitude separation of wave function as local gauge transformation Gerjuoy, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:28.121219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:27.091131Z digest=sha256:3a19c752cb0f92a6750e8ff9989cdaf96cd5829b877df940e7a1f99f8332d97b

Observation 1b01c758-53c9-4ddf-8d14-2c37de592e16 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:27.989537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:27.127693Z digest=sha256:1cd8ae41458d2474e3e031728b4b6ff242d202b46f052e36b56966eae5b56f1c

Observation 1371ce94-e143-4f6d-a707-8953b0b74f5e · outbound

This paper cites Kalaba, J.

Phase amplitude separation of wave function as local gauge transformation Kalaba, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:27.882095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5a786c9f-2e80-4737-9858-3f6486dbb22b · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:27.750076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:27.214211Z digest=sha256:a1acf36418f5419803e1f30e111d712f6439558e70348341a5a9baa81723f0b2

Observation f66f9535-e039-43d7-888d-747eae379494 · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:27.615347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:27.257599Z digest=sha256:cc1aeca07963d77f2b380d84b61234b86f631df8fc2519c145a58bc81d706737

Observation 76f8c4e6-b6b6-4bf5-b3d5-b81da820892f · outbound

This paper cites an unresolved cited work.

Phase amplitude separation of wave function as local gauge transformation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:49:27.530966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:27.305800Z digest=sha256:1c4a67c1fe09de70159b8be7a5ec7306d44bc0a145a8efedaf156ea9e9cab2ee

Observation 82641645-87ba-4909-a32b-3d9a0caa9e2b · outbound

This paper cites Zee, Quantum Field Theory (Princeton Univ.

Phase amplitude separation of wave function as local gauge transformation Zee, Quantum Field Theory (Princeton Univ

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:49:27.459085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T21:49:27.353441Z digest=sha256:79082e6e90f6e8c591bdce784ecf9003ad9da6b51de49028cf622b1a370a6a9b

Pith citing papers

No inbound Pith citation observations are available.