Pith Number

pith:5AMHXL2V

pith:2011:5AMHXL2VSQNXJ2NA47WJWNZEBZ

not attested not anchored not stored refs pending

Stochastic population growth in spatially heterogeneous environments

Arnab Sen, Peter L. Ralph, Sebastian J. Schreiber, Steven N. Evans

arxiv:1105.2280 v2 · 2011-05-11 · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AMHXL2VSQNXJ2NA47WJWNZEBZ}

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	2026-05-18T01:24:21.970849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8187baf55941b74e9a0e7ec9b37240e596eda40d1e8d9cabdeab02023c1356a

Aliases

arxiv: 1105.2280 · arxiv_version: 1105.2280v2 · doi: 10.48550/arxiv.1105.2280 · pith_short_12: 5AMHXL2VSQNX · pith_short_16: 5AMHXL2VSQNXJ2NA · pith_short_8: 5AMHXL2V

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/5AMHXL2VSQNXJ2NA47WJWNZEBZ \
  | 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: e8187baf55941b74e9a0e7ec9b37240e596eda40d1e8d9cabdeab02023c1356a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf069e7e37755964271960c7bfaf66fe0f035671f2695ff47a4a47df1212747",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-11T19:18:05Z",
    "title_canon_sha256": "9d63a8f97aa4ca5e4b7efe12d836b01820bf7d65ef6e6f9caa21f0666fdebbc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2280",
    "kind": "arxiv",
    "version": 2
  }
}