Pith Number

pith:PVHZUKN2

pith:2025:PVHZUKN24RWMQKQLAYNY5Z2OEB

not attested not anchored not stored refs pending

Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-Order Discrepancies Between Probability Measures

Filippo Quattrocchi, Giovanni Brigati, Jan Maas

arxiv:2502.15665 v2 · 2025-02-21 · math.AP · math.FA · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVHZUKN24RWMQKQLAYNY5Z2OEB}

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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

From Kinetic Theory to AI: a Rediscovery of High-Dimensional Divergences and Their Properties

Receipt and verification

First computed	2026-07-05T11:51:22.393217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4f9a29bae46cc82a0b061b8ee74e20693379b58ddd1e88d354f3ae486bbefd

Aliases

arxiv: 2502.15665 · arxiv_version: 2502.15665v2 · doi: 10.48550/arxiv.2502.15665 · pith_short_12: PVHZUKN24RWM · pith_short_16: PVHZUKN24RWMQKQL · pith_short_8: PVHZUKN2

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/PVHZUKN24RWMQKQLAYNY5Z2OEB \
  | 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: 7d4f9a29bae46cc82a0b061b8ee74e20693379b58ddd1e88d354f3ae486bbefd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce02c14742270037b569f40ace6fd288f561c6e405a7a1700ec36726842bff99",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-21T18:44:33Z",
    "title_canon_sha256": "b7d6ba7a2396da9708a04a5f85bcf66ec3c23496df239ffd68620ddb05512bc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.15665",
    "kind": "arxiv",
    "version": 2
  }
}