Pith Number

pith:5AGUOLFO

pith:2013:5AGUOLFO5MWIGZ27W5JH6NP2EE

not attested not anchored not stored refs pending

Exchangeable Markov Processes on $[k]^{\zz{N}}$ with Cadlag Sample Paths

Harry Crane, Steven P. Lalley

arxiv:1307.1713 v2 · 2013-07-05 · 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{5AGUOLFO5MWIGZ27W5JH6NP2EE}

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	2026-05-18T03:06:34.338436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e80d472caeeb2c83675fb7527f35fa2136b925423ce7f4f7217418304c236ea9

Aliases

arxiv: 1307.1713 · arxiv_version: 1307.1713v2 · doi: 10.48550/arxiv.1307.1713 · pith_short_12: 5AGUOLFO5MWI · pith_short_16: 5AGUOLFO5MWIGZ27 · pith_short_8: 5AGUOLFO

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/5AGUOLFO5MWIGZ27W5JH6NP2EE \
  | 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: e80d472caeeb2c83675fb7527f35fa2136b925423ce7f4f7217418304c236ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84863982e86a8b99e8ce02b548e2841802c42d3ecba218cbf853fc8f4620055e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-05T20:21:04Z",
    "title_canon_sha256": "e0911ce1a80e78b0b6ad8f726b008b8d52d26910fab41be82347989756f3b8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1713",
    "kind": "arxiv",
    "version": 2
  }
}