Pith Number

pith:N4FC5FRF

pith:2010:N4FC5FRFJNPZXGQUP72QCV3EVH

not attested not anchored not stored refs pending

Entropy production of cyclic population dynamics

Benjamin Andrae, Erwin Frey, Jonas Cremer, Tobias Reichenbach

arxiv:1005.0865 v1 · 2010-05-05 · cond-mat.stat-mech · physics.comp-ph · 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{N4FC5FRFJNPZXGQUP72QCV3EVH}

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	2026-05-18T02:24:08.878817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0a2e96254b5f9b9a147ff5015764a9d99b04da9c7785bd31eb1deff7298ba4

Aliases

arxiv: 1005.0865 · arxiv_version: 1005.0865v1 · doi: 10.48550/arxiv.1005.0865 · pith_short_12: N4FC5FRFJNPZ · pith_short_16: N4FC5FRFJNPZXGQU · pith_short_8: N4FC5FRF

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/N4FC5FRFJNPZXGQUP72QCV3EVH \
  | 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: 6f0a2e96254b5f9b9a147ff5015764a9d99b04da9c7785bd31eb1deff7298ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39aee428f19f1addda5ed737a6b2ee1435b2075eb36be48f475b0054aecfbf3e",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-05-05T22:46:57Z",
    "title_canon_sha256": "0536b04f555f2ed9701518859344bff35ae3b08b2e0a156d9f9c8958d69c7923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0865",
    "kind": "arxiv",
    "version": 1
  }
}