Pith Number

pith:ZLY7AN2B

pith:2010:ZLY7AN2BQLDZA53N5WMIG5OTQO

not attested not anchored not stored refs pending

Nonlinear threshold Boolean automata networks and phase transitions

Jacques Demongeot, Sylvain Sen\'e

arxiv:1011.4675 v1 · 2010-11-21 · cs.DM · math.DS · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLY7AN2BQLDZA53N5WMIG5OTQO}

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	2026-05-18T04:35:04.215640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf1f0374182c790776ded988375d383abb1dd08486773dc5d8c568406f88dbc

Aliases

arxiv: 1011.4675 · arxiv_version: 1011.4675v1 · doi: 10.48550/arxiv.1011.4675 · pith_short_12: ZLY7AN2BQLDZ · pith_short_16: ZLY7AN2BQLDZA53N · pith_short_8: ZLY7AN2B

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/ZLY7AN2BQLDZA53N5WMIG5OTQO \
  | 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: caf1f0374182c790776ded988375d383abb1dd08486773dc5d8c568406f88dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c3f88878d5eb31e77e24686c5cfeb2c3c9f2d8a1c0351338eacc958c301b0e",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-11-21T16:29:57Z",
    "title_canon_sha256": "3a898278eca9235f661bdccbddf01f01ce1ec15c85150ddb321b23deb3892f2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4675",
    "kind": "arxiv",
    "version": 1
  }
}