Pith Number

pith:RYBREJLO

pith:2018:RYBREJLO6OC4UIWEY4HMGPD6F6

not attested not anchored not stored refs pending

Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces

Anna Kausamo, Augusto Gerolin, Tapio Rajala

arxiv:1805.00880 v1 · 2018-05-02 · math.AP · math-ph · 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{RYBREJLO6OC4UIWEY4HMGPD6F6}

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	2026-05-18T00:16:57.333882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0312256ef385ca22c4c70ec33c7e2f918c637916ef3eca9150c0c8f1cf364b

Aliases

arxiv: 1805.00880 · arxiv_version: 1805.00880v1 · doi: 10.48550/arxiv.1805.00880 · pith_short_12: RYBREJLO6OC4 · pith_short_16: RYBREJLO6OC4UIWE · pith_short_8: RYBREJLO

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/RYBREJLO6OC4UIWEY4HMGPD6F6 \
  | 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: 8e0312256ef385ca22c4c70ec33c7e2f918c637916ef3eca9150c0c8f1cf364b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fcb7011f46bbafd5b3e1920a02c2d509faa6e14b9a4fd6e4e279104fe903687",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-02T15:54:30Z",
    "title_canon_sha256": "b3cbf717f422bad7fdb70e9b3a240ec93fcbbb7f8934cd3b3ae303eae17e7057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00880",
    "kind": "arxiv",
    "version": 1
  }
}