Pith Number

pith:3WPQA3L5

pith:2016:3WPQA3L53VZ6GI3TEWJWZCBKUE

not attested not anchored not stored refs pending

Optimal transport via a Monge-Amp\`ere optimization problem

Michael Lindsey, Yanir A. Rubinstein

arxiv:1603.07435 v2 · 2016-03-24 · math.NA · 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{3WPQA3L53VZ6GI3TEWJWZCBKUE}

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	2026-05-18T00:36:41.450949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9f006d7ddd73e3237325936c882aa110d390b4710862adda1be7d95341e80f

Aliases

arxiv: 1603.07435 · arxiv_version: 1603.07435v2 · doi: 10.48550/arxiv.1603.07435 · pith_short_12: 3WPQA3L53VZ6 · pith_short_16: 3WPQA3L53VZ6GI3T · pith_short_8: 3WPQA3L5

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/3WPQA3L53VZ6GI3TEWJWZCBKUE \
  | 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: dd9f006d7ddd73e3237325936c882aa110d390b4710862adda1be7d95341e80f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b7844c967092450ea8eacd3dd9c8e30be1b6f9c1c180cd44649fede1ff5b31c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-24T04:36:55Z",
    "title_canon_sha256": "f4f329a41cabdaa1bd17f919c7c10e2ee28f5227c589e0bfc55c38f5cbfef6cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07435",
    "kind": "arxiv",
    "version": 2
  }
}