Paper Citation Record · LEDGER

Mass Lower Bounds for Asymptotically Locally Flat Manifolds

As of 11 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2509.03014.

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

pith.paper-citation-record.v1
2509.03014 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:22:44.506438Z

measured 51 of 51 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:19:01.181021Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T03:22:10.054779Z

Reference resolution

49 of 49 outbound references displayed

verified exact0
verified fuzzy18
unresolved31
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87fe3f6d-6c6f-4c49-a337-85f2638cee99 · outbound

This paper cites Gravitational instantons with $S^1$ symmetry.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Gravitational instantons with $S^1$ symmetry

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T11:22:43.976123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 595e6013-3517-4418-be0c-837ff7b71167 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:46.357498Z

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 cddb6c3a-156d-4bb8-bf3f-daf55e53b8f5 · outbound

This paper cites Henri Poincar´ e,9 (2008), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Henri Poincar´ e,9 (2008), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:46.326176Z

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

Observation c06011d3-459f-4cb4-8ea8-c56ed7e6239e · outbound

This paper cites Pure Appl.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Pure Appl

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:46.293964Z

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

Observation cc8a75f1-67d6-4c28-a332-2ad8aa2cd4c1 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:46.259750Z

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Observation 004011cc-b72a-4c2b-9656-604f1989e280 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:46.229411Z

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

Observation f7c29348-c654-41f2-ba24-c1342a71cb5c · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:46.196966Z

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

Observation a1cb04ce-c732-4ead-9441-2fad8635aef7 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:46.168316Z

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

Observation 67e128c2-2a31-4d34-a12d-3177f0f4cc19 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:46.144927Z

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

Observation 45676cd3-d038-401d-9107-deaf5179e609 · outbound

This paper cites Incompressible hypersurface, positive scalar curvature and positive mass theorem.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Incompressible hypersurface, positive scalar curvature and positive mass theorem

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T11:22:44.063867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14807f7e-f4b3-4880-9432-1fb8c2f030a7 · outbound

This paper cites III Latin Amer.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds III Latin Amer

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:46.078476Z

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

Observation a0d211d8-fded-468a-afbb-bfa79d5e81b3 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:46.033623Z

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

Observation a9307a85-3fef-4cf3-82dc-c963125c1bdf · outbound

This paper cites Math., 212 (2003), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Math., 212 (2003), no

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.978659Z

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

Observation e9d11196-42fb-4b32-9d9c-bf8be2f61883 · outbound

This paper cites of Math., 145 (1997), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds of Math., 145 (1997), no

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.902394Z

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Observation effaf4f4-ea26-480d-8bb8-0eb499042c60 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.862729Z

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

Observation e7cc7c8c-1835-4f7e-9060-241262246df4 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.825980Z

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

Observation fb582c42-ec0b-44fa-a964-9e604b10b19c · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.783174Z

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

Observation 97d6e9b4-51fa-4abd-9154-2910c251f1bd · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.751756Z

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

Observation 9ba11ee0-b3bc-4c2f-8dba-8c9dc06314a4 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.718000Z

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

Observation 42978d26-fb29-477c-8ad8-69a279db61b8 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.684236Z

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

Observation b447228f-c149-45d2-9597-ce40ffef3924 · outbound

This paper cites of Math., 72 (1960), 458–520.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds of Math., 72 (1960), 458–520

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.657381Z

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Observation 03eb36f1-861e-4322-8ed4-b4a6713713da · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.609943Z

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

Observation 8443c902-00ce-4723-90d8-7961352692c4 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.580112Z

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 2ef6f22d-30bc-42e0-af86-707388876e8d · outbound

This paper cites of Math., 136 (1992), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds of Math., 136 (1992), no

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.555494Z

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Observation 473fecf4-8657-4e1d-92c0-b7ee44d00392 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.528956Z

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

Observation 75705ec9-49e1-4951-91b8-848979b34e82 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.504731Z

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

Observation 35b17207-7d09-4a06-a342-81c212a477c2 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.472939Z

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

Observation 8e84dd44-e705-440c-9549-2c2b62e1a596 · outbound

This paper cites Ann., 312 (1998), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Ann., 312 (1998), no

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.442401Z

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Observation 9ad327d2-4a2b-4e96-a0d7-c48edf6ee150 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.405451Z

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

Observation 52a95214-7ad6-49dd-b993-ed35279a9816 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.342900Z

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

Observation fa64cdb0-d6d0-4982-b5b2-b0cd8c364837 · outbound

This paper cites 201, American Mathematical Society, 2021.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds 201, American Mathematical Society, 2021

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.321793Z

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 42216188-f236-43e1-819b-d2014e2d12a7 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.298253Z

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 4c754c76-ad5a-4307-aad8-8b8dae4e5372 · outbound

This paper cites Differential Geom., 128 (2024), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Differential Geom., 128 (2024), no

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.274429Z

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

Observation 6c3bf1ac-126f-4006-b9dc-8565dc6c53bf · outbound

This paper cites Classification results for conformally K\"ahler gravitational instantons.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Classification results for conformally K\"ahler gravitational instantons

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T11:22:44.293876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a6552e7-72d5-4b64-a748-ec7f7d5d87b1 · outbound

This paper cites Gravitational instantons and harmonic maps.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Gravitational instantons and harmonic maps

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-05T11:22:44.302876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5e32786-4d26-47fd-abc6-e02fff6f006d · outbound

This paper cites Positive mass theorems of ALF and ALG manifolds.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Positive mass theorems of ALF and ALG manifolds

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T11:22:44.313475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddc5b30e-4acf-43d8-912c-a044621f8637 · outbound

This paper cites 19, 193001.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds 19, 193001

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.259654Z

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

Observation 6c3a5e46-48ef-4e31-befe-6d6af535d043 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.227705Z

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

Observation 79f255be-303e-4201-bb2c-177c17914a3c · outbound

This paper cites Pure Appl.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Pure Appl

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.178081Z

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 dbb9baf8-8cf9-4609-bba8-dd585bface17 · outbound

This paper cites 3-4, 275–288.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds 3-4, 275–288

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.137985Z

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 6a30a100-774f-411d-9f6c-27b2cbb303d3 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.089366Z

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 e373d047-2deb-4805-b0b7-af8a0b568f93 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:45.063190Z

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 0110a3f5-2ccd-4a59-82c4-c760fa5be13b · outbound

This paper cites II , Comm.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds II , Comm

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:45.020923Z

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 b640023f-5c1e-48de-b76b-94dce2eb905d · outbound

This paper cites Math., 293 (2018), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Math., 293 (2018), no

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:44.986481Z

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 4e8bbad7-d931-41e1-815d-f7d1241b48bc · outbound

This paper cites 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:44.952370Z

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 3e3db012-59bb-4ce8-94eb-f4aef0a242a9 · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:44.912793Z

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 68d28973-8ca5-4fe8-bb7f-bf8f179db2af · outbound

This paper cites Differential Geom., 57 (2001), no.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Differential Geom., 57 (2001), no

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:44.868387Z

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 318ba781-2b4f-4d04-90a8-23c68024d17c · outbound

This paper cites an unresolved cited work.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:22:44.839767Z

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 a941635f-cae9-4598-b715-4d339920acf7 · outbound

This paper cites I , Comm.

Mass Lower Bounds for Asymptotically Locally Flat Manifolds I , Comm

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:22:44.817336Z

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.

Pith citing papers

Observation 1bece107-74c3-4acb-b64a-596d8617945a · inbound

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds cites this paper.

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds Mass Lower Bounds for Asymptotically Locally Flat Manifolds

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:22:10.058378Z

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 b8cb9fb0-a9da-4484-8209-0e2b38cf831a · inbound

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds cites this paper.

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds Mass Lower Bounds for Asymptotically Locally Flat Manifolds

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T14:19:01.181021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.