Pith Number

pith:6BEETD6C

pith:2025:6BEETD6CGPYWCSLSRXJCCTHP2J

not attested not anchored not stored refs resolved

The Joint Gromov Wasserstein Objective for Multiple Object Matching

Aryan Tajmir Riahi, Khanh Dao Duc

The Joint Gromov-Wasserstein objective extends pairwise matching to simultaneous matching of multiple objects while remaining non-negative and convergent under point sampling.

arxiv:2511.16868 v2 · 2025-11-21 · cs.CV · q-bio.BM

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Our formulation provides a non-negative dissimilarity measure that identifies partially isomorphic distributions of mm-spaces, with point sampling convergence.

C2weakest assumption

That collections of objects can be jointly represented as metric measure spaces whose joint matching admits the same convergence and non-negativity properties as the classical pairwise case without additional regularity conditions.

C3one line summary

The Joint Gromov-Wasserstein (JGW) objective extends GW to collections of metric measure spaces, yielding a non-negative dissimilarity that detects partial isomorphisms with point-sampling convergence and admits entropic solvers for point clouds.

References

40 extracted · 40 resolved · 0 Pith anchors

[1] Recent advances in shape correspondence 2020

[2] Multiple anonymized social networks alignment 2015

[3] AlignOT: An optimal transport based algorithm for fast 3D alignment with applications to cryogenic electron microscopy density maps 2023

[4] Alignment of Partially Overlapping Cryo-EM Maps Using Unbalanced Gromov-Wasserstein Divergence 2025

[5] Spidermatch: 3D shape matching with global optimality and geometric consis- tency

Receipt and verification

First computed	2026-05-18T03:09:33.060889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f048498fc233f16149728dd2214cefd24d40feca20e68e36112d13c4e62bba81

Aliases

arxiv: 2511.16868 · arxiv_version: 2511.16868v2 · doi: 10.48550/arxiv.2511.16868 · pith_short_12: 6BEETD6CGPYW · pith_short_16: 6BEETD6CGPYWCSLS · pith_short_8: 6BEETD6C

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6BEETD6CGPYWCSLSRXJCCTHP2J \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f048498fc233f16149728dd2214cefd24d40feca20e68e36112d13c4e62bba81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f5dc545bc9705014be4749d887f6f7d9d43adb0c1f576d575b7d50e7c23608",
    "cross_cats_sorted": [
      "q-bio.BM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2025-11-21T00:31:21Z",
    "title_canon_sha256": "7a19730d5f0cd0224ad8d7e92bc9cadbbeec32bad795c6ec5fd18bd66ed37d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.16868",
    "kind": "arxiv",
    "version": 2
  }
}