Pith Number

pith:PX7TK5HZ

pith:2011:PX7TK5HZ5MHMAF5UQYDJWGG2NZ

not attested not anchored not stored refs pending

Bifurcations in Boolean Networks

Chris J. Kuhlman, David Murrugarra, Henning S. Mortveit, V.S.Anil Kumar

arxiv:1108.2974 v2 · 2011-08-15 · 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{PX7TK5HZ5MHMAF5UQYDJWGG2NZ}

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	2026-05-18T03:36:16.209037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dff3574f9eb0ec017b486069b18da6e44a7867bbd9018c21f2463055a7cd12d

Aliases

arxiv: 1108.2974 · arxiv_version: 1108.2974v2 · doi: 10.48550/arxiv.1108.2974 · pith_short_12: PX7TK5HZ5MHM · pith_short_16: PX7TK5HZ5MHMAF5U · pith_short_8: PX7TK5HZ

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/PX7TK5HZ5MHMAF5UQYDJWGG2NZ \
  | 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: 7dff3574f9eb0ec017b486069b18da6e44a7867bbd9018c21f2463055a7cd12d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf2ff1d96b2c306e1986088fe42c798fc345c415f76e89aec429e7197660723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-15T11:43:43Z",
    "title_canon_sha256": "bf81bd1d3b8aa3e0a003c0d20840678e9d491b0c8f5c42655608c3d12d561d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2974",
    "kind": "arxiv",
    "version": 2
  }
}