Pith Number

pith:C4O7OHEV

pith:2015:C4O7OHEV3HMF2SXKYOLTZRLVMN

not attested not anchored not stored refs pending

Conditional Markov Chains Part II: Consistency and Copulae

Jacek Jakubowski, Mariusz Niew\k{e}g{\l}owski, Tomasz R. Bielecki

arxiv:1501.05535 v2 · 2015-01-22 · 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{C4O7OHEV3HMF2SXKYOLTZRLVMN}

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	2026-05-18T01:25:47.315460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171df71c95d9d85d4aeac3973cc575636134c01c8bf4205039b8a2c96208e814

Aliases

arxiv: 1501.05535 · arxiv_version: 1501.05535v2 · doi: 10.48550/arxiv.1501.05535 · pith_short_12: C4O7OHEV3HMF · pith_short_16: C4O7OHEV3HMF2SXK · pith_short_8: C4O7OHEV

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/C4O7OHEV3HMF2SXKYOLTZRLVMN \
  | 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: 171df71c95d9d85d4aeac3973cc575636134c01c8bf4205039b8a2c96208e814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f393f7bda9673c6b25e016a6165bb39ed74016763f2633930584975249db8a06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-22T15:27:08Z",
    "title_canon_sha256": "e9c7c3851a0edefe1babccea5286331fe2aaded90e2d8619f7d4241c0721b325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05535",
    "kind": "arxiv",
    "version": 2
  }
}