Pith Number

pith:EVKKLOVD

pith:2011:EVKKLOVDY2L2T6JIIROBPQ7H3B

not attested not anchored not stored refs pending

Markov chain properties in terms of column sums of the transition matrix

Jeffrey J. Hunter

arxiv:1111.0152 v1 · 2011-11-01 · 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{EVKKLOVDY2L2T6JIIROBPQ7H3B}

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	2026-05-18T02:57:24.399892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2554a5baa3c697a9f928445c17c3e7d854895b1915ca916a6be0c1aab1640575

Aliases

arxiv: 1111.0152 · arxiv_version: 1111.0152v1 · doi: 10.48550/arxiv.1111.0152 · pith_short_12: EVKKLOVDY2L2 · pith_short_16: EVKKLOVDY2L2T6JI · pith_short_8: EVKKLOVD

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/EVKKLOVDY2L2T6JIIROBPQ7H3B \
  | 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: 2554a5baa3c697a9f928445c17c3e7d854895b1915ca916a6be0c1aab1640575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97b56f4f42ba6e76af1095060cdd6bffa0c1f82f19d13c05df0a6deab39a1fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-01T09:25:44Z",
    "title_canon_sha256": "bc610f5a317721597b2bff6c06e1337a4e5b2b3963229eaa5587f5266bd8fc2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0152",
    "kind": "arxiv",
    "version": 1
  }
}