Pith Number

pith:URNBV4GU

pith:2012:URNBV4GUTELEHC7NAHER6P6ZWL

not attested not anchored not stored refs pending

Growth dynamics and the evolution of cooperation in microbial populations

Anna Melbinger, Erwin Frey, Jonas Cremer

arxiv:1203.5863 v1 · 2012-03-27 · 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{URNBV4GUTELEHC7NAHER6P6ZWL}

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	2026-05-18T03:59:13.236846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a45a1af0d49916438bed01c91f3fd9b2d0ac00fb9739d5f7617dd11e3ff8372f

Aliases

arxiv: 1203.5863 · arxiv_version: 1203.5863v1 · doi: 10.48550/arxiv.1203.5863 · pith_short_12: URNBV4GUTELE · pith_short_16: URNBV4GUTELEHC7N · pith_short_8: URNBV4GU

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/URNBV4GUTELEHC7NAHER6P6ZWL \
  | 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: a45a1af0d49916438bed01c91f3fd9b2d0ac00fb9739d5f7617dd11e3ff8372f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51c4bedfadbd55078bfdecbed3b1f3336921443f926ba3a942311762758e9b4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-03-27T04:00:36Z",
    "title_canon_sha256": "68742b8a692554e4f6f3e6ad7631d2babd2b61924732875892b2181b33e2b861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5863",
    "kind": "arxiv",
    "version": 1
  }
}