Pith Number

pith:DEUDRKQJ

pith:2014:DEUDRKQJCGJBAJK4SJES6TC66N

not attested not anchored not stored refs pending

Kantorovich duality for general transport costs and applications

Cyril Roberto, Nathael Gozlan (LAMA), Paul-Marie Samson (LAMA), Prasad Tetali

arxiv:1412.7480 v4 · 2014-12-23 · math.PR · 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{DEUDRKQJCGJBAJK4SJES6TC66N}

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	2026-05-18T01:23:48.384257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

192838aa09119210255c92492f4c5ef34c935a0e7d2d7917d105ee73401a6bff

Aliases

arxiv: 1412.7480 · arxiv_version: 1412.7480v4 · doi: 10.48550/arxiv.1412.7480 · pith_short_12: DEUDRKQJCGJB · pith_short_16: DEUDRKQJCGJBAJK4 · pith_short_8: DEUDRKQJ

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/DEUDRKQJCGJBAJK4SJES6TC66N \
  | 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: 192838aa09119210255c92492f4c5ef34c935a0e7d2d7917d105ee73401a6bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e625f7197d75c352c55e0e8a849c09bc37477d6913592c68ec4a01be479fc07d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-23T19:25:24Z",
    "title_canon_sha256": "3d92ad43c081c814f63f625411bf2990eac2e5ad1e0848185bc5df77cea789db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7480",
    "kind": "arxiv",
    "version": 4
  }
}