Pith Number

pith:FCDYYTBW

pith:2016:FCDYYTBWOARUBOX6P27JXWNNSH

not attested not anchored not stored refs pending

Matrix Optimal Mass Transport: A Quantum Mechanical Approach

Allen Tannenbaum, Tryphon T. Georgiou, Yongxin Chen

arxiv:1610.03041 v1 · 2016-10-10 · math-ph · math.FA · 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{FCDYYTBWOARUBOX6P27JXWNNSH}

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	2026-05-18T01:02:50.146710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28878c4c36702340bafe7ebe9bd9ad91f09473f57f2bc5d1c6d0f3d17ac3d8a4

Aliases

arxiv: 1610.03041 · arxiv_version: 1610.03041v1 · doi: 10.48550/arxiv.1610.03041 · pith_short_12: FCDYYTBWOARU · pith_short_16: FCDYYTBWOARUBOX6 · pith_short_8: FCDYYTBW

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/FCDYYTBWOARUBOX6P27JXWNNSH \
  | 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: 28878c4c36702340bafe7ebe9bd9ad91f09473f57f2bc5d1c6d0f3d17ac3d8a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f20aed29ea08cf243ffec7188ca5252c6514466a277d819a092b192cc7186d1",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-10T19:36:48Z",
    "title_canon_sha256": "4fe694c12bd83ad840d0ec6e517966e6f2a7343c6dc14ec8d9dec3f0a7a2fb87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03041",
    "kind": "arxiv",
    "version": 1
  }
}