Pith Number

pith:MSTR2345

pith:2016:MSTR2345GIPTZ2Q5C27KCH34KO

not attested not anchored not stored refs pending

Stochastic Optimization for Large-scale Optimal Transport

CEREMADE), Francis Bach (SIERRA, Gabriel Peyr\'e (MOKAPLAN, Genevay Aude (MOKAPLAN, LIENS), Marco Cuturi

arxiv:1605.08527 v1 · 2016-05-27 · math.OC · cs.LG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSTR2345GIPTZ2Q5C27KCH34KO}

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	2026-05-18T01:13:29.699252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64a71d6f9d321f3cea1d16bea11f7c53895fe30c7656a0711af56b812503d447

Aliases

arxiv: 1605.08527 · arxiv_version: 1605.08527v1 · doi: 10.48550/arxiv.1605.08527 · pith_short_12: MSTR2345GIPT · pith_short_16: MSTR2345GIPTZ2Q5 · pith_short_8: MSTR2345

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/MSTR2345GIPTZ2Q5C27KCH34KO \
  | 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: 64a71d6f9d321f3cea1d16bea11f7c53895fe30c7656a0711af56b812503d447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5952fc771e3c484878428224af26bae7381bdd6d987aa160a9499ec1cef7d4",
    "cross_cats_sorted": [
      "cs.LG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-27T07:47:30Z",
    "title_canon_sha256": "2854e799378f041b54d91fd8557cd373c6cd649b0d8bff3bb71541bf2ad1923d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08527",
    "kind": "arxiv",
    "version": 1
  }
}