Pith Number

pith:VOFHDVFE

pith:2012:VOFHDVFE62FJ7XR2NCVON6YZS5

not attested not anchored not stored refs pending

Duality Theorems in Ergodic Transport

Artur O. Lopes, Jairo K. Mengue

arxiv:1201.5301 v1 · 2012-01-25 · math.DS · math.OC · 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{VOFHDVFE62FJ7XR2NCVON6YZS5}

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	2026-05-18T01:58:42.046715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8a71d4a4f68a9fde3a68aae6fb19975dc0d9c901d66f8e7b78c0c1c6d5b1d1

Aliases

arxiv: 1201.5301 · arxiv_version: 1201.5301v1 · doi: 10.48550/arxiv.1201.5301 · pith_short_12: VOFHDVFE62FJ · pith_short_16: VOFHDVFE62FJ7XR2 · pith_short_8: VOFHDVFE

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/VOFHDVFE62FJ7XR2NCVON6YZS5 \
  | 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: ab8a71d4a4f68a9fde3a68aae6fb19975dc0d9c901d66f8e7b78c0c1c6d5b1d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3bf2fd2f1e205e6dd414a14da57c14cfa94978d3ac3c284275b5805b21f5cde",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-25T15:32:45Z",
    "title_canon_sha256": "9523210f74cdb1a100ceef9ba393fc1533d6c60a0013233f6ca3a03c92334990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5301",
    "kind": "arxiv",
    "version": 1
  }
}