Pith Number

pith:VG2PVMKK

pith:2012:VG2PVMKKX26BKR62T5ZNYCAUZS

not attested not anchored not stored refs pending

Phase Transition in NK-Kauffman Networks and its Correction for Boolean Irreducibility

Federico Zertuche

arxiv:1208.0272 v3 · 2012-08-01 · 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{VG2PVMKKX26BKR62T5ZNYCAUZS}

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	2026-05-18T02:54:21.771440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b4fab14abebc1547da9f72dc0814cca284b91dfdc85031b77aa2d682c1789b

Aliases

arxiv: 1208.0272 · arxiv_version: 1208.0272v3 · doi: 10.48550/arxiv.1208.0272 · pith_short_12: VG2PVMKKX26B · pith_short_16: VG2PVMKKX26BKR62 · pith_short_8: VG2PVMKK

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/VG2PVMKKX26BKR62T5ZNYCAUZS \
  | 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: a9b4fab14abebc1547da9f72dc0814cca284b91dfdc85031b77aa2d682c1789b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743c00dca0c894ec37aaba8715ded2202b04045bb52174bbb76984ccf14be472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2012-08-01T16:49:28Z",
    "title_canon_sha256": "96c73a70d6fe8af94d814a0885dee885b352e4f3cf23e0ff4906df9a7ef9b2e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0272",
    "kind": "arxiv",
    "version": 3
  }
}