Pith Number

pith:R6ZMJVUJ

pith:2016:R6ZMJVUJWHJZKDNPJQGKRY454T

not attested not anchored not stored refs pending

Number of fixed points and disjoint cycles in monotone Boolean networks

Adrien Richard, Julio Aracena, Lilian Salinas

arxiv:1602.03109 v2 · 2016-02-09 · math.CO · cs.DM · cs.IT · math.IT · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6ZMJVUJWHJZKDNPJQGKRY454T}

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	2026-05-18T00:31:14.028648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb2c4d689b1d3950daf4c0ca8e39de4e559657f4de61485bf737535b300237b

Aliases

arxiv: 1602.03109 · arxiv_version: 1602.03109v2 · doi: 10.48550/arxiv.1602.03109 · pith_short_12: R6ZMJVUJWHJZ · pith_short_16: R6ZMJVUJWHJZKDNP · pith_short_8: R6ZMJVUJ

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/R6ZMJVUJWHJZKDNPJQGKRY454T \
  | 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: 8fb2c4d689b1d3950daf4c0ca8e39de4e559657f4de61485bf737535b300237b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e924e35e3038da45893606e6ffa8bda9aa39164e50e0cd8b31d0a5dfb0123294",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.IT",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-09T18:15:30Z",
    "title_canon_sha256": "4ab1c7dd11a41f9b469e034e3180ef731f160b86d812e3d662daac958d12d28d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03109",
    "kind": "arxiv",
    "version": 2
  }
}