Pith Number

pith:SJNP3MPR

pith:2013:SJNP3MPRWTQXDAVLLISALXMQZZ

not attested not anchored not stored refs pending

The order-chaos phase transition for a general class of complex Boolean networks

Shirshendu Chatterjee

arxiv:1310.4474 v1 · 2013-10-16 · math.PR · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJNP3MPRWTQXDAVLLISALXMQZZ}

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	2026-05-18T03:10:14.911818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925afdb1f1b4e17182ab5a2405dd90ce745362f635efaf1d62d02144dafad756

Aliases

arxiv: 1310.4474 · arxiv_version: 1310.4474v1 · doi: 10.48550/arxiv.1310.4474 · pith_short_12: SJNP3MPRWTQX · pith_short_16: SJNP3MPRWTQXDAVL · pith_short_8: SJNP3MPR

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/SJNP3MPRWTQXDAVLLISALXMQZZ \
  | 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: 925afdb1f1b4e17182ab5a2405dd90ce745362f635efaf1d62d02144dafad756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b883bd1ae756ea894bcd4c229006d38595f3c2f05b27acfba836c85b17b3ccf",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-16T18:37:40Z",
    "title_canon_sha256": "9d4b05b8c0bff04212b8abe531d05cc58b5a9338c262cd9ad2f9ad24fce2e2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4474",
    "kind": "arxiv",
    "version": 1
  }
}