pith. sign in
Pith Number

pith:2LKK7K24

pith:2010:2LKK7K24O3GQBJRBO4PFKFFKNH
not attested not anchored not stored refs pending

Phase transition in a class of non-linear random networks

M. Andrecut, S. A. Kauffman

arxiv:1003.0871 v3 · 2010-03-03 · nlin.AO · q-bio.OT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2LKK7K24O3GQBJRBO4PFKFFKNH}

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 2026-05-18T03:23:49.125859Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d2d4afab5c76cd00a621771e5514aa69cdea353ef263a5af634368d1658165dd

Aliases

arxiv: 1003.0871 · arxiv_version: 1003.0871v3 · doi: 10.48550/arxiv.1003.0871 · pith_short_12: 2LKK7K24O3GQ · pith_short_16: 2LKK7K24O3GQBJRB · pith_short_8: 2LKK7K24
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2LKK7K24O3GQBJRBO4PFKFFKNH \
  | 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: d2d4afab5c76cd00a621771e5514aa69cdea353ef263a5af634368d1658165dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fda65c0120f8b8b3185c93b17e01b12e46d018a0052749701ca7bdfefc7f43bb",
    "cross_cats_sorted": [
      "q-bio.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2010-03-03T18:18:58Z",
    "title_canon_sha256": "2b33584980fe60262bcf64f64c36e30eefe7555878229868fa2089d37ab4b957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0871",
    "kind": "arxiv",
    "version": 3
  }
}