Pith Number

pith:IXTS5OTW

pith:2024:IXTS5OTWKZ2YWAP4JLLEANWDLS

not attested not anchored not stored refs pending

JKO schemes with general transport costs

Cale Rankin, Ting-Kam Leonard Wong

arxiv:2402.17681 v1 · 2024-02-27 · math.AP · 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{IXTS5OTWKZ2YWAP4JLLEANWDLS}

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	2026-07-05T07:49:49.607735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e72eba7656758b01fc4ad64036c35c8720394dda11660c22ce65e70d72a1fe

Aliases

arxiv: 2402.17681 · arxiv_version: 2402.17681v1 · doi: 10.48550/arxiv.2402.17681 · pith_short_12: IXTS5OTWKZ2Y · pith_short_16: IXTS5OTWKZ2YWAP4 · pith_short_8: IXTS5OTW

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/IXTS5OTWKZ2YWAP4JLLEANWDLS \
  | 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: 45e72eba7656758b01fc4ad64036c35c8720394dda11660c22ce65e70d72a1fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0addb85d8c6af36325944e07d4038ccb9966c92888b81b297895bb226132d6e0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-27T16:54:56Z",
    "title_canon_sha256": "7fec8c1fa6d7e0e165bcd07fce577f463426163db1cea4156a49e18f6a54c157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.17681",
    "kind": "arxiv",
    "version": 1
  }
}