Paper Citation Record · LEDGER

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2507.01317.

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

pith.paper-citation-record.v1
2507.01317 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:07:46.938104Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T06:26:15.600529Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T15:28:34.811277Z

Reference resolution

24 of 24 outbound references displayed

verified exact2
verified fuzzy13
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c281a3f9-5a5e-4f2f-9280-eaf8153e5546 · outbound

This paper cites Bejenaru and S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bejenaru and S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.517080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fc0ab0f3-6b69-4e41-99d8-f867418384c7 · outbound

This paper cites Bejenaru, S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bejenaru, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.497624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d495e5e9-57ee-4a47-8c89-c6395b438e7f · outbound

This paper cites Bejenaru, A.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bejenaru, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.477744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5ed6aa84-b68b-4e06-bb51-6c36c6257e2e · outbound

This paper cites Bourgain and J.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Bourgain and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.459108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f93b5d01-341c-451e-bf05-59c7ffbdef31 · outbound

This paper cites Candy, S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Candy, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.441412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c482bf8b-e8d8-445b-beec-73c21fc70ca3 · outbound

This paper cites Candy, S.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Candy, S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.421211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 386c4792-333a-4220-9802-f72af7126ad7 · outbound

This paper cites Christ and A.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Christ and A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.397760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dac590e1-7050-41d6-8670-9e1b0f797e39 · outbound

This paper cites Colliander, J.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Colliander, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.378113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f2d7595-f704-40d4-86c4-349654642664 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:47.349772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c0f2fb12-dbae-4a76-b727-42a96435b206 · outbound

This paper cites Ginibre, Y.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Ginibre, Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.327944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2867a01e-833a-4277-93e5-9d44c2718a55 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:47.304325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 93b4ee0f-58d1-4bd4-b38a-a1a2cee4dacf · outbound

This paper cites Guo and K.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Guo and K

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.283138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation daae999c-196a-437a-b814-675ee2ae4d7e · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:47.262147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 47f27c36-45af-4c20-ae35-db7d2e5ceed0 · outbound

This paper cites Keel and T.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Keel and T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.239580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c848dc7f-d7ac-46b2-a4b8-0b7215306c8e · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:47.216182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation adeac14b-e082-41b4-aa5c-0a3eeaa1ee5b · outbound

This paper cites Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Global well-posedness in the critical Besov space of the skew mean curvature flow in $\mathbb{R}^d: d\ge 5$

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T21:07:46.889450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed199db3-e553-4023-adb3-30f31b2cf018 · outbound

This paper cites Lai and Y.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Lai and Y

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.183326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 415ad6b4-6128-45ff-9500-341ff04b2c45 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:47.160340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1dbbb75f-4cae-4efb-8eca-c0e117e048d0 · outbound

This paper cites Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:07:47.075796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation deca1184-d040-4e69-8a34-169ebf8104b0 · outbound

This paper cites Global well-posedness for radial extremal hypersurface equation in $\left(1+3 \right)$-dimensional Minkowski space-time in critical Sobolev space.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Global well-posedness for radial extremal hypersurface equation in $\left(1+3 \right)$-dimensional Minkowski space-time in critical Sobolev space

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:07:47.042368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3700c010-227f-4dfc-b594-328a360c7b7e · outbound

This paper cites Periodic Schr\"odinger map flow on K\"ahler manifolds.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Periodic Schr\"odinger map flow on K\"ahler manifolds

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T21:07:46.920431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ba7a58d-37e0-4d99-9f37-ee92514d6046 · outbound

This paper cites Wang and Y.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Wang and Y

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:07:47.140306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3d9ef10e-84ec-4798-b92c-fe35d8c76829 · outbound

This paper cites an unresolved cited work.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:07:47.121052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4c398e2c-b2f5-4631-bdd2-b8ebf9c6abeb · outbound

This paper cites 1+2 dimensional radially symmetric wave maps revisit.

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II) 1+2 dimensional radially symmetric wave maps revisit

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:07:46.938104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 1eb3cf51-f93d-41fd-95d6-3dd87a935a47 · inbound

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains cites this paper.

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-03T15:28:34.812550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.