Pith Number

pith:M7CTW4WA

pith:2017:M7CTW4WAJ3LERWBC44FICNXK7V

not attested not anchored not stored refs pending

On the Matrix Monge-Kantorovich Problem

Allen Tannenbaum, Tryphon T. Georgiou, Wilfrid Gangbo, Yongxin Chen

arxiv:1701.02826 v2 · 2017-01-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7CTW4WAJ3LERWBC44FICNXK7V}

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	2026-05-18T00:31:51.593031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c53b72c04ed648d822e70a8136eafd7024211786a887910b14ec4752c6afa0

Aliases

arxiv: 1701.02826 · arxiv_version: 1701.02826v2 · doi: 10.48550/arxiv.1701.02826 · pith_short_12: M7CTW4WAJ3LE · pith_short_16: M7CTW4WAJ3LERWBC · pith_short_8: M7CTW4WA

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/M7CTW4WAJ3LERWBC44FICNXK7V \
  | 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: 67c53b72c04ed648d822e70a8136eafd7024211786a887910b14ec4752c6afa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919796551d43beae1e7c33f4d428bb56740fc068e9b1760ede98a785c8aad2cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-11T02:06:18Z",
    "title_canon_sha256": "e5613cc0beea5bd8143fb0c840d74e463b179d9f290a6c3fbad4493862ab0cf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02826",
    "kind": "arxiv",
    "version": 2
  }
}