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Paper Citation Record · LEDGER

On the local existence for the characteristic initial value problem for the Einstein-Dirac system

As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2509.04167.

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

pith.paper-citation-record.v1
2509.04167 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:25:25.932332Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:53:05.337115Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98fedb87-8dbb-4dba-a6fe-b6beaeb33b54 · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.133487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.867819Z digest=sha256:71159e4d6dd46e28d43250c4fa95dec34831dbba7ab64975b8404c07a227517a

Observation 41062689-a251-44ab-a998-3c25ff029b3f · outbound

This paper cites Christodoulou, S.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Christodoulou, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:25:26.125491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.871346Z digest=sha256:d7f5da0a9b5d87d16765a0e8939063d2e729d94fa0c3fae67302c8a35562e33b

Observation 8454603d-2c90-45e4-8946-9b574933210a · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.115825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.874607Z digest=sha256:dd520e419b5816ab744e898a4aee437e66812b6277f90037e459e6d54dcc8d52

Observation b662812f-abc2-4e76-9ba0-372f0664dc3d · outbound

This paper cites Wang and X.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Wang and X

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:25:26.107051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.881824Z digest=sha256:0ecb951a06bb68aab9a8e2cf4442e736be56edd39adc9a3adfca8df01a6f4e86

Observation e75c13dd-7335-4a15-864a-60c6a09eb4c2 · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.098051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.885470Z digest=sha256:8bb38a42b57e8e68a0099ff4df3c2d77775abc43a5f689e945cf7edabc98c3dc

Observation ba6b7c6f-30ef-4e25-bb27-364e3a4bb719 · outbound

This paper cites Ma and L.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Ma and L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:25:26.087902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.888735Z digest=sha256:da24b3cc1aa369aba1c85e9ba039702e791e5a94f742f303d11f6d05140dc4a3

Observation 1386a415-7913-4fa1-bdb2-bbc1e5ef12fc · outbound

This paper cites Li and L.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Li and L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:25:26.078073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.892070Z digest=sha256:748c978b6372896a993c34331f72eb837adc4f129f33fd4727c6e7c5a2255db0

Observation 6b7f9e42-0f2f-4044-83b1-1de21518186f · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.068726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.895054Z digest=sha256:30cc9833043fcb53c0c1bdc2d3de27e0fe8a67c5488f17823852045c7dea3f2f

Observation bd1838e3-b59f-40d4-9bb1-105a4cee06d7 · outbound

This paper cites Radiation fields for semilinear Dirac equations with spinor null forms.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Radiation fields for semilinear Dirac equations with spinor null forms

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:25:25.974544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.898044Z digest=sha256:90494c6885e970283523fdfd1204efe3687c8a4c34c6ea20c8a2de466f369dc7

Observation e6eaf3b9-aea3-444d-bbc4-257d8372ccd2 · outbound

This paper cites Zhang and X.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Zhang and X

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:25:26.059859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.901579Z digest=sha256:2f225156cfefd1cebf736bd07ba54266061540c3adfd83528367b3af21a5d6f2

Observation 075f3a5e-db55-4703-91bf-2142524d6dd4 · outbound

This paper cites Penrose and W.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Penrose and W

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-05T10:25:25.905524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:25:25.905524Z digest=sha256:786880be71e63d6f24644521fd07bc258c1f92b6776f63805527d3b30c460f06

Observation f4d4096f-f32d-40c8-a7a9-9470a8c7e204 · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.045736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.908655Z digest=sha256:a907408cc21b218c8bafb9754a709063631460cdd603512ad12bdaddc60af0a9

Observation 7700c0bd-8a64-4d71-8cbe-3065613e6c98 · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.036014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.911660Z digest=sha256:9e6b6cbc940e6eb8d95fb59dbc93864d1bb70f3b1c57e8bbe6d37e1933b78541

Observation cb70fe22-0ae6-4d1c-a7d0-a2b4b1c8c57c · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.025209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.915137Z digest=sha256:297d1347c20f4fe41468e5239ffb9ce6f22e1f69a941d0937b1ef766afe517d5

Observation d2e4d2eb-23ce-4f99-9c2b-d9ef58a5d02b · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.014561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.918537Z digest=sha256:c44cf2ff8dddde5df9562773a1b4c01e531de1f32055abe8c305536f2be46dfb

Observation b7617878-e420-43db-80a2-2500e2be1b21 · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:26.004260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.921918Z digest=sha256:662153da7d4a3f9d7d5262d5edb67885e27186d64203462714955677a3fb5e28

Observation 377db9d5-73b4-42da-8c6c-79bd96da7d4a · outbound

This paper cites an unresolved cited work.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:25:25.993728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.924842Z digest=sha256:024ed5d5628932a3bf12ba6627db7e7f7fb8cdb097d8ff9eac4dd439aec0ff99

Observation 02624fdd-e270-402e-9421-0da692fe3d2e · outbound

This paper cites Einstein-Yang-Mills equations in the double null framework.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Einstein-Yang-Mills equations in the double null framework

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T10:25:25.927893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:25:25.927893Z digest=sha256:ef185ec3b6abbc61d06bdbd987cbae60f1d261fbe2d5932c7d9fda89aaaf3a79

Observation 89c1c8ad-7389-482b-9c10-13bdd4a99ee4 · outbound

This paper cites Zhao and X.

On the local existence for the characteristic initial value problem for the Einstein-Dirac system Zhao and X

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:25:25.984078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T10:25:25.932332Z digest=sha256:6a6d96e0aa2c8fcd2cc4aeebf886cb6f0163ec9edb23eef837f9dad8111fd776

Pith citing papers

Observation 4170a35f-1c15-4113-aae6-f6bdc8f966a4 · inbound

A spinor-adapted geometric approach for nonlinear Dirac systems and its application to a tensorial wave-Dirac system near Minkowski spacetime cites this paper.

A spinor-adapted geometric approach for nonlinear Dirac systems and its application to a tensorial wave-Dirac system near Minkowski spacetime On the local existence for the characteristic initial value problem for the Einstein-Dirac system

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-02T03:53:05.337115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:53:05.337115Z digest=sha256:2ae6b8fc07022a0e5670c686e722023bc67decf1bfd9374ec0d1626694ffba31