Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:40:29.410424Z
Paper Citation Record · LEDGER
The Log Product Formula
As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:1908.04936.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T01:36:07.063249Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T13:31:02.901653Z
Reference resolution
29 of 29 outbound references displayed
- verified exact0
- verified fuzzy19
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cc577227-e117-4d0b-a2f6-6b144351bc3b · outbound
This paper cites Boundedness of the space of stable logarithmic maps.
The Log Product Formula Boundedness of the space of stable logarithmic maps
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:30.260931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8c4a2ef5-deda-41fc-8775-d64c0079d78c · outbound
This paper cites Costello's pushforward formula.
The Log Product Formula Costello's pushforward formula
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:30.230194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b11bde45-32a3-4876-a38f-d3a02901ac7a · outbound
This paper cites Birational invariance in logarithmic gromov–witten theory.
The Log Product Formula Birational invariance in logarithmic gromov–witten theory
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:30.205418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d2dc62a8-d0e5-4d0b-afca-b103b23c01c7 · outbound
This paper cites an unresolved cited work.
The Log Product Formula Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:40:30.160388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6c496a71-e0a9-40fa-937f-9c7ef37bd0b3 · outbound
This paper cites an unresolved cited work.
The Log Product Formula Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:40:30.117237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f5f2bb1d-d816-4807-84ec-a9e1469df7a7 · outbound
This paper cites The intrinsic normal cone.
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:40:29.213544Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 442978a1-9e4b-46b0-8716-0de3f11269c8 · outbound
This paper cites A moduli stack of tropical curves.
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:40:29.227268Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c7df940-cc14-420d-98ab-2557f780d33a · outbound
This paper cites Costello.
The Log Product Formula Costello
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:30.085993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 74052d14-6272-421f-ab72-ff1a9baf6058 · outbound
This paper cites Fantechi, L.
The Log Product Formula Fantechi, L
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:30.060010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6cb6e5f6-2227-4b54-9c56-28da34541522 · outbound
This paper cites Groupes de monodromie en g\'eom\'etrie alg\'ebrique.
The Log Product Formula Groupes de monodromie en g\'eom\'etrie alg\'ebrique
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:30.010828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 63a6ae92-200b-4153-9b0f-0b6b2d53190f · outbound
This paper cites Gross and B.
The Log Product Formula Gross and B
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.984175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0eb3d484-2473-42f4-99f7-a36ea129b2c5 · outbound
This paper cites an unresolved cited work.
The Log Product Formula Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:40:29.958589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4c60b2cb-051a-4b8a-bcc9-69d7714bcc97 · outbound
This paper cites G\'eometrie logarithmique.
The Log Product Formula G\'eometrie logarithmique
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.936335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8b8c1310-a4d6-41ce-95d1-9754767d9981 · outbound
This paper cites On log flat descent.
The Log Product Formula On log flat descent
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.914051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a89039d0-71d8-47c7-bb53-4d92d657b70d · outbound
This paper cites Log smooth deformation and moduli of log smooth curves.
The Log Product Formula Log smooth deformation and moduli of log smooth curves
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.893014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9ad1acfd-81c4-44c8-ace5-19d31fc2cc12 · outbound
This paper cites Cycle groups for A rtin stacks.
The Log Product Formula Cycle groups for A rtin stacks
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.869560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2a7160a0-9f7e-44c8-bc60-5fdd8a0671c3 · outbound
This paper cites Laumon and L.
The Log Product Formula Laumon and L
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.842908Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 30280fc3-e12e-4c6f-a1ca-8a5cf08c50ec · outbound
This paper cites Lee and F.
The Log Product Formula Lee and F
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.824652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 500ffcf0-19cb-4ba6-b18c-32db38cf961d · outbound
This paper cites Manolache.
The Log Product Formula Manolache
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.804978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 12e8d0fd-6a59-4817-bed9-c2ee3f51cffe · outbound
This paper cites Monomorphisms in categories of log schemes.
The Log Product Formula Monomorphisms in categories of log schemes
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.775356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 31c0604d-a5de-4129-b0a9-93ac40fecd3e · outbound
This paper cites Toric singularities: Log-blow-ups and global resolutions.
The Log Product Formula Toric singularities: Log-blow-ups and global resolutions
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:40:29.329195Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a16c78f8-a60e-42f1-ac40-ab842d066bc6 · outbound
This paper cites Lectures on Logarithmic Algebraic Geometry.
The Log Product Formula Lectures on Logarithmic Algebraic Geometry
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:40:29.338802Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fb7be3f-2c09-46f4-a114-371dddb1e95b · outbound
This paper cites Logarithmic geometry and algebraic stacks.
The Log Product Formula Logarithmic geometry and algebraic stacks
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.715831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a10e66fb-5582-4fa6-ab41-b6f6c139522c · outbound
This paper cites The logarithmic cotangent complex.
The Log Product Formula The logarithmic cotangent complex
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.676461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2c6ed26e-7c55-4339-9b26-c14924bbbd0c · outbound
This paper cites Sheaves on artin stacks.
The Log Product Formula Sheaves on artin stacks
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.647134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 68fdf429-0fd0-434c-94b9-56d0c9f1a8dd · outbound
This paper cites Logarithmic Gromov-Witten theory with expansions.
The Log Product Formula Logarithmic Gromov-Witten theory with expansions
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:40:29.374722Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 366a4b11-5e8b-4de5-aa0f-31f4eb70893c · outbound
This paper cites Stacks Project.
The Log Product Formula Stacks Project
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:40:29.384364Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f31bd85a-9139-4217-8982-eaf20c8e6828 · outbound
This paper cites Wise and L.
The Log Product Formula Wise and L
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:40:29.583252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4a8b035f-a725-484e-9c09-07670152fad7 · outbound
This paper cites an unresolved cited work.
The Log Product Formula Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:40:29.561731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 57330ac3-0215-4605-a834-9424405d415e · inbound
The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$ cites this paper.
The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$ The Log Product Formula
Reference 60
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T13:31:02.904136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.