Pith Number

pith:I6I5UWXE

pith:2019:I6I5UWXEUZQE5NBAVCILRG75N5

not attested not anchored not stored refs pending

Multi-marginal Entropy-Transport with repulsive cost

Anna Kausamo, Augusto Gerolin, Tapio Rajala

arxiv:1907.07900 v1 · 2019-07-18 · math.AP · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6I5UWXEUZQE5NBAVCILRG75N5}

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.

Receipt and verification

First computed	2026-05-17T23:40:15.770251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4791da5ae4a6604eb420a890b89bfd6f646cd0c54f50c7c69a4b44fd6ea75dfa

Aliases

arxiv: 1907.07900 · arxiv_version: 1907.07900v1 · doi: 10.48550/arxiv.1907.07900 · pith_short_12: I6I5UWXEUZQE · pith_short_16: I6I5UWXEUZQE5NBA · pith_short_8: I6I5UWXE

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/I6I5UWXEUZQE5NBAVCILRG75N5 \
  | 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: 4791da5ae4a6604eb420a890b89bfd6f646cd0c54f50c7c69a4b44fd6ea75dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a11eb0ddced57510cd8a3a9e95aa9da9d363874bd9f695097447a1fd39ec2a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-18T06:51:06Z",
    "title_canon_sha256": "ac0beba9baf1617ada39e96c4ec9410634b4d59171ca7698b943bb8a189f077c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07900",
    "kind": "arxiv",
    "version": 1
  }
}