Pith Number

pith:HOB6BFGZ

pith:2013:HOB6BFGZMENCD6MK5UYHRU6NCZ

not attested not anchored not stored refs pending

Remarks on the Afriat's theorem and the Monge-Kantorovich problem

Alexander V. Kolesnikov, Olga V. Kudryavtseva, Tigran Nagapetyan

arxiv:1302.4695 v2 · 2013-02-19 · 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{HOB6BFGZMENCD6MK5UYHRU6NCZ}

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	2026-05-18T02:51:08.647583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b83e094d9611a21f98aed3078d3cd1676d3aed55b60671c63df11b5da7e00bc

Aliases

arxiv: 1302.4695 · arxiv_version: 1302.4695v2 · doi: 10.48550/arxiv.1302.4695 · pith_short_12: HOB6BFGZMENC · pith_short_16: HOB6BFGZMENCD6MK · pith_short_8: HOB6BFGZ

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/HOB6BFGZMENCD6MK5UYHRU6NCZ \
  | 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: 3b83e094d9611a21f98aed3078d3cd1676d3aed55b60671c63df11b5da7e00bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48781c06f6a8523bb645e8fdc5e988755dd3bc78f75f81ed518d04254aba0f7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-19T17:50:27Z",
    "title_canon_sha256": "8bce27e7cb5659a4197de056150d761dfe7cc6bfdba2533067754f2edc4a45e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4695",
    "kind": "arxiv",
    "version": 2
  }
}