Pith Number

pith:NG3Q6UNY

pith:2015:NG3Q6UNYJ7C5UCHM7WVVGYOVJD

not attested not anchored not stored refs pending

Markov Diagrams for Some Non-Markovian Systems

Karl Petersen, Kathleen Carroll

arxiv:1504.03988 v1 · 2015-04-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG3Q6UNYJ7C5UCHM7WVVGYOVJD}

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	2026-05-18T02:18:41.484227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b70f51b84fc5da08ecfdab5361d548e602b975a5266c01a508b73c154cb3fa

Aliases

arxiv: 1504.03988 · arxiv_version: 1504.03988v1 · doi: 10.48550/arxiv.1504.03988 · pith_short_12: NG3Q6UNYJ7C5 · pith_short_16: NG3Q6UNYJ7C5UCHM · pith_short_8: NG3Q6UNY

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/NG3Q6UNYJ7C5UCHM7WVVGYOVJD \
  | 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: 69b70f51b84fc5da08ecfdab5361d548e602b975a5266c01a508b73c154cb3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d82e7beaab842a78e6989eebb484fc27aac6d393f7d87a9acd5edb6e3198bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-15T18:47:41Z",
    "title_canon_sha256": "7fff9f3846c6ed78e808011e1109c34aac83a51fb3fdff07e2fdf4f793946144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03988",
    "kind": "arxiv",
    "version": 1
  }
}