Pith Number

pith:FGP6CC4V

pith:2012:FGP6CC4VOOAXWH6HM2DEDI7P6V

not attested not anchored not stored refs pending

Multi-marginal optimal transport and multi-agent matching problems: uniqueness and structure of solutions

Brendan Pass

arxiv:1210.7372 v1 · 2012-10-27 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGP6CC4VOOAXWH6HM2DEDI7P6V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Cited by

1 paper in Pith

Pairwise Multi-marginal Optimal Transport and Embedding for Earth Mover's Distance

Receipt and verification

First computed	2026-05-18T03:42:10.274695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

299fe10b9573817b1fc7668641a3eff559a8c6737fed94d1d3ceedec083987b0

Aliases

arxiv: 1210.7372 · arxiv_version: 1210.7372v1 · doi: 10.48550/arxiv.1210.7372 · pith_short_12: FGP6CC4VOOAX · pith_short_16: FGP6CC4VOOAXWH6H · pith_short_8: FGP6CC4V

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FGP6CC4VOOAXWH6HM2DEDI7P6V \
  | 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: 299fe10b9573817b1fc7668641a3eff559a8c6737fed94d1d3ceedec083987b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d2e325f56405425bcf74316b8ffdb3f8e97ee3875b90e5e20b91f2f75a6628",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-27T20:48:38Z",
    "title_canon_sha256": "5fb19d2ec3840a92f541c9dc1fc634f531d63f10e49f1dbd266db4e9d236ab8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7372",
    "kind": "arxiv",
    "version": 1
  }
}