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Paper Citation Record · LEDGER

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2506.01292.

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

pith.paper-citation-record.v1
2506.01292 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:58:13.369867Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved9
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84578e8f-4648-4aaa-9256-8bdf635dab29 · outbound

This paper cites Strange, Relativistic Quantum Mechanics(Cambridge University Press, Cambridge, 1998).

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Strange, Relativistic Quantum Mechanics(Cambridge University Press, Cambridge, 1998)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.717445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.268511Z digest=sha256:274f12476efc3ee7dfe98122477f9af73c71f4636ce0ed3dd0f5a66910c23034

Observation 9fba6a46-e4c0-4657-a946-8ed41868941e · outbound

This paper cites an unresolved cited work.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:58:13.700656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.274210Z digest=sha256:34f829954c1254092f40bbdb6555e6734589b13fe74f35f9cf519586463f9b32

Observation 325b3702-cf83-4653-909b-ed9f97546f54 · outbound

This paper cites Nagaosa, J.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Nagaosa, J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T11:58:13.280741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:58:13.280741Z digest=sha256:fe2b0cf57dfd35cb97fcfe3d5bcfc3189db6ad50277394332f3973fb97ffceb5

Observation f2cf65cb-a478-4346-8e35-c6ce75cecff6 · outbound

This paper cites ˇSmejkal, J.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories ˇSmejkal, J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T11:58:13.285516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:58:13.285516Z digest=sha256:3fab7855e72b13a8072b64d3fbf613e4fcb2cbf33d73b822206dcc515a627f68

Observation dea5ac38-6717-404c-814e-3782aca7fea5 · outbound

This paper cites ˇSmejkal, J.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories ˇSmejkal, J

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T11:58:13.290237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:58:13.290237Z digest=sha256:100ee1bbe10affd2dda66cac3147ea69da5f66c2d0a457d2f59bd881504695e9

Observation b184585b-20a2-4698-872f-531b6eed34aa · outbound

This paper cites an unresolved cited work.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:58:13.647484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.295815Z digest=sha256:cf55412bc533cfc5cedd3ac62ffa36072f7aef6754273a5bfb75b379df8f9134

Observation e7b7f84d-8af3-4abd-8ee8-86180d9ede0d · outbound

This paper cites Resta, Electrical polarization and orbital magnetiza- tion: the modern theories, J.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Resta, Electrical polarization and orbital magnetiza- tion: the modern theories, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.630498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.303004Z digest=sha256:b98017c427f51e59d456995adb75cb93a6c14814f0acd30c948b127a5b3506ba

Observation 668a2ca3-eebe-46a5-9a9f-ff464930abbf · outbound

This paper cites (3a) and (5a), the bra and ket are three- component vectors, and the symbol “×” denotes the vec- tor product of such vectors.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories (3a) and (5a), the bra and ket are three- component vectors, and the symbol “×” denotes the vec- tor product of such vectors

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.612891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.308668Z digest=sha256:3ad87b7a38e7e3b35a98fc54a8aac13aab0255448584bb1b4fec7e0322bc863e

Observation a2e8c8d8-7877-4af6-bdce-7bd1ca8519cf · outbound

This paper cites an unresolved cited work.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:58:13.596526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.314991Z digest=sha256:8d929a0c50a39d3fac9ac2c7802bde68e01ce6d689af50baaf1779637709cf10

Observation 9f220c42-23d6-416f-963b-5de1e2257877 · outbound

This paper cites an unresolved cited work.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Unresolved cited work

Reference 10

Resolution
parse uncertain
raw_fallback, observed 2026-08-07T11:58:13.577508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.319513Z digest=sha256:a067bd656751147741458fab23167e426ffe793b139ea0a29f1961d959ddc552

Observation f5e24b3b-3d8f-41a6-a074-dbf160a54268 · outbound

This paper cites Culcer, A.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Culcer, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.561518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.324486Z digest=sha256:4eef715b40de66a704e0d961b86082b335aa53495afdfc12e390334571a8dd72

Observation 42ca9e23-9650-4b1c-9543-fdf670d115d4 · outbound

This paper cites Chang and Q.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Chang and Q

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.545307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.328997Z digest=sha256:9d16b81364f13f5f595d11c03990a39af300c35a9d142e2ef51f508c77de4306

Observation e3d4f6c3-e822-4718-9a96-dcae9ee1c264 · outbound

This paper cites Gos´ albez-Mart ´ ınez, I.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Gos´ albez-Mart ´ ınez, I

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.526965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.333690Z digest=sha256:dcbab77542ea1b4b55b6904bf97658038fb966013340a7cc2bdfd4ec09b4d409

Observation b7ffdb61-f75f-4eeb-ad1e-4c6242a50fa2 · outbound

This paper cites an unresolved cited work.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T11:58:13.338870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:58:13.338870Z digest=sha256:eb3ec57964e8275e7d8566022f4ab2338abb66b2060005b5d2f38d30a3bc9f50

Observation 9bebb363-1685-4eff-935a-6cb3efaae67f · outbound

This paper cites Bihlmayer, Density functional theory of magnetism, in Handbook of Magnetism and Advanced Magnetic Ma- terials, Vol.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Bihlmayer, Density functional theory of magnetism, in Handbook of Magnetism and Advanced Magnetic Ma- terials, Vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.497807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.343281Z digest=sha256:90a760f4390b49a01a347e4a06937d625c2b2759ed603d9595036a28235d66c5

Observation 4ef578ef-b8fb-49cf-b5a6-7dc56ebe8782 · outbound

This paper cites Herring, Effect of time-reversal symmetry on energy bands of crystals, Phys.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Herring, Effect of time-reversal symmetry on energy bands of crystals, Phys

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.481505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.347325Z digest=sha256:0e34d3b176a3eabbf65c171f33b18a1236cfcf200bc899d7f2aec1c03b96a408

Observation 5e14f161-a8af-4322-b640-68457344d58b · outbound

This paper cites an unresolved cited work.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T11:58:13.351382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:58:13.351382Z digest=sha256:d65eb55081dbdcf3a75b704d6956abd7d1726bdbead5a4e9a98c136817114dd7

Observation da299414-ed2d-44d4-85ab-3269e5b7a053 · outbound

This paper cites Winkler and U.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Winkler and U

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.454558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.355624Z digest=sha256:11df22bd99f5c637f63c35d3bdd2b4c6c92b28e835faf70d2ec804236adda4ca

Observation 417dcae0-67a0-4896-aac9-08787bf05673 · outbound

This paper cites Lowitzer, D.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Lowitzer, D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.438917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.360276Z digest=sha256:c1ebd9a0e731d8143ddac954e8d3970153128f4aad4c64adc4efaf2a67a8938a

Observation 3856a46d-743c-4a59-bff4-58f956d64804 · outbound

This paper cites Wagenknecht, L.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Wagenknecht, L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:58:13.421855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:58:13.365512Z digest=sha256:450f9dd3e615857a17f35f2c095ffb1a54e407e84fe9f962d530c7bdf2dbed25

Observation 038a2d70-15d0-4da3-b3fe-0c53660c6349 · outbound

This paper cites an unresolved cited work.

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T11:58:13.369867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:58:13.369867Z digest=sha256:1a470b87b5c39268db092bdc3b7c69abc98b991751955b92ee9374531dac7fc7

Pith citing papers

No inbound Pith citation observations are available.