Pith Number

pith:4NGX7VPK

pith:2012:4NGX7VPKM6YP6RVYMJDVMBO5IG

not attested not anchored not stored refs pending

Spontaneous genetic clustering in populations of competing organisms

Alan J. McKane, Axel G. Rossberg, Tim Rogers

arxiv:1207.1615 v2 · 2012-07-06 · q-bio.PE · cond-mat.stat-mech · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NGX7VPKM6YP6RVYMJDVMBO5IG}

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	2026-05-18T03:41:43.792948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34d7fd5ea67b0ff46b862475605dd419872f673dd7ebd094923257ad7a17cc5

Aliases

arxiv: 1207.1615 · arxiv_version: 1207.1615v2 · doi: 10.48550/arxiv.1207.1615 · pith_short_12: 4NGX7VPKM6YP · pith_short_16: 4NGX7VPKM6YP6RVY · pith_short_8: 4NGX7VPK

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/4NGX7VPKM6YP6RVYMJDVMBO5IG \
  | 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: e34d7fd5ea67b0ff46b862475605dd419872f673dd7ebd094923257ad7a17cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b80d3122aa1da330abba75257a63d56a79de3839e94fd5675e49a4ba8819665",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-07-06T13:03:53Z",
    "title_canon_sha256": "735483822621bbf6c189bbc30aaaaae76bda8c759813238ede542d169c5893ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1615",
    "kind": "arxiv",
    "version": 2
  }
}