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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 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.867819Z digest=sha256:21fe1140624f1589c0fe45f58dd8f35a9751d8be40b3c41c245edf1e86471852

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.871346Z digest=sha256:8cb3b052a32e73e3dbc8f2ef3a1f9c53289de4918ed4d8ebcaca8ce1c1a2f3ce

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.874607Z digest=sha256:554056973ef60746af86984c97eb8a7c45d56d3b275bdcf1f4f2fb3877daf3e1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.881824Z digest=sha256:10d03e6b8d8ba61d38f805e60b0efb8b6203b35c06ad05e972d2ad792609d23b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.885470Z digest=sha256:5184beb2862d1eec9914920f4fa3d159ea29262d756b9ab03e51412709c47824

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.888735Z digest=sha256:3662cb10ea3f631e789a0e60d76f0af3200b424f47634dfba7d17570b6b50c6d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.892070Z digest=sha256:ffb5a43665600850846440e1f78de50d01e238a3aa6fff785db4d11813f53a2e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.895054Z digest=sha256:cf821dc9dff2590e9c319b66c2fd97bc25be29259c43d1254aa7c50b0e2da6c5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.898044Z digest=sha256:4a68193d9b2815a9d5ceee6708ed2276f3fd6fca7871afd1e1ee7c03c1b934cc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.901579Z digest=sha256:ca89c71934ca857ba8436e765748a7a39d17cc776054e73bfbae83bf5a6c2565

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.908655Z digest=sha256:28be674387a2a38f561b9b626853d051be9ae35e2d052530d7d82118f64f8209

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.911660Z digest=sha256:04c8b7b2b07eb3502749fd717ad5924b32b0e2e45cca06dc737a5b275637f86d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.915137Z digest=sha256:80855d071cc486528d7b3660d3290d31af51b8f7633c616233a50fed968fcdbb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.918537Z digest=sha256:64bfa0ee46d59f212bf89d185d80df7765db96b40351ca49e0a77f5f57cdfee3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.921918Z digest=sha256:c25e24f4dc03274b53d3d754dc0f4196d40fdeef088600ba2b268aac84e09ff9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.924842Z digest=sha256:2272dbaf3390b11f0e0fc9ca31a9a7b4f3c6ff102d717a9e8bde2898d595c294

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=sha256:2345d4e150639837c43dcec50a55a4f477d23aaff6de26b5e99fce22b5b3918a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T10:25:25.932332Z digest=sha256:e658cb46a380af2206b360621af61b90ad26a2dfb039568200a221b28ec9beb0

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