Pith Number

pith:2W25QJQE

pith:2014:2W25QJQE7ZVK5J5DE6ICLUBKW5

not attested not anchored not stored refs pending

The multi-marginal optimal partial transport problem

Brendan Pass, Jun Kitagawa

arxiv:1401.7255 v2 · 2014-01-28 · 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{2W25QJQE7ZVK5J5DE6ICLUBKW5}

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	2026-05-18T01:35:40.464912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b5d82604fe6aaea7a3279025d02ab75d8f394c5361f3e35711eec8bf33ae5f

Aliases

arxiv: 1401.7255 · arxiv_version: 1401.7255v2 · doi: 10.48550/arxiv.1401.7255 · pith_short_12: 2W25QJQE7ZVK · pith_short_16: 2W25QJQE7ZVK5J5D · pith_short_8: 2W25QJQE

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/2W25QJQE7ZVK5J5DE6ICLUBKW5 \
  | 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: d5b5d82604fe6aaea7a3279025d02ab75d8f394c5361f3e35711eec8bf33ae5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870f0728962f8585ee715177d6ac9c4815269cf64630ee1096e57ff60a3da19c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-28T16:57:38Z",
    "title_canon_sha256": "3393095cfbe1812aaffde51dda47f2dfdf774963a1f34ef271290135e0cdac22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7255",
    "kind": "arxiv",
    "version": 2
  }
}