Pith Number

pith:ZZ4NKJL5

pith:2013:ZZ4NKJL5IZSXHOORVTJ2TX7F2I

not attested not anchored not stored refs pending

Fixed point theorems for Boolean networks expressed in terms of forbidden subnetworks

Adrien Richard

arxiv:1302.6346 v3 · 2013-02-26 · cs.DM · 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{ZZ4NKJL5IZSXHOORVTJ2TX7F2I}

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	2026-05-18T02:32:12.334120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce78d5257d466573b9d1acd3a9dfe5d206e6c5e6d97cade2f89c99dd56990b3f

Aliases

arxiv: 1302.6346 · arxiv_version: 1302.6346v3 · doi: 10.48550/arxiv.1302.6346 · pith_short_12: ZZ4NKJL5IZSX · pith_short_16: ZZ4NKJL5IZSXHOOR · pith_short_8: ZZ4NKJL5

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/ZZ4NKJL5IZSXHOORVTJ2TX7F2I \
  | 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: ce78d5257d466573b9d1acd3a9dfe5d206e6c5e6d97cade2f89c99dd56990b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5e888f9ec4e937b4580ad63a39ccbab9a82692d55595b97d46f0076ae06ab8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-02-26T07:29:23Z",
    "title_canon_sha256": "5f35ed411b4590b902fb1951cbc9324cf4418adf4de9e01515c1e12835630ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6346",
    "kind": "arxiv",
    "version": 3
  }
}