Pith Number

pith:OUKKJKAH

pith:2025:OUKKJKAHQI7ZJGCZIJA3SGVDLB

not attested not anchored not stored refs pending

Patterns Within the Markov Tree

Robert A. Gore

arxiv:2506.04299 v2 · 2025-06-04 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUKKJKAHQI7ZJGCZIJA3SGVDLB}

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.

Cited by

1 paper in Pith

Patterns Within the Markov Tree

Receipt and verification

First computed	2026-07-05T11:59:15.282165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7514a4a807823f9498594241b91aa358701419879c7ee72e7296a91da67d8891

Aliases

arxiv: 2506.04299 · arxiv_version: 2506.04299v2 · doi: 10.48550/arxiv.2506.04299 · pith_short_12: OUKKJKAHQI7Z · pith_short_16: OUKKJKAHQI7ZJGCZ · pith_short_8: OUKKJKAH

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/OUKKJKAHQI7ZJGCZIJA3SGVDLB \
  | 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: 7514a4a807823f9498594241b91aa358701419879c7ee72e7296a91da67d8891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126d88a6caefd1cb72fad2344c594dce31108a6881ef126e03ccd7051132fbd0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-04T12:45:50Z",
    "title_canon_sha256": "04e93adc1822487660910123d2145b4f05c43b47434e19b9e3c0dc78611d8e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04299",
    "kind": "arxiv",
    "version": 2
  }
}