Pith Number

pith:WNIYSBYC

pith:2013:WNIYSBYCA5M2RQQZOPOC75FZU6

not attested not anchored not stored refs pending

Optimal transportation of processes with infinite Kantorovich distance. Independence and symmetry

Alexander V. Kolesnikov, Danila A. Zaev

arxiv:1303.7255 v3 · 2013-03-28 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNIYSBYCA5M2RQQZOPOC75FZU6}

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	2026-05-18T00:32:45.480687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3518907020759a8c21973dc2ff4b9a78992ae253f00fc2fa1f67f58d10d9dc1

Aliases

arxiv: 1303.7255 · arxiv_version: 1303.7255v3 · doi: 10.48550/arxiv.1303.7255 · pith_short_12: WNIYSBYCA5M2 · pith_short_16: WNIYSBYCA5M2RQQZ · pith_short_8: WNIYSBYC

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/WNIYSBYCA5M2RQQZOPOC75FZU6 \
  | 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: b3518907020759a8c21973dc2ff4b9a78992ae253f00fc2fa1f67f58d10d9dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c1401594194bd1af9546c8eacecf1f79c1501c647ef8023491f5c70506eac5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-28T21:01:22Z",
    "title_canon_sha256": "e026f85b5edb595fa40bd12f03e5aa999d4e6aad2e0b5dcf52b89a25ed1c5602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7255",
    "kind": "arxiv",
    "version": 3
  }
}