Pith Number

pith:LZ27TVR5

pith:2013:LZ27TVR5U2YTS3TTTFVUELEEMH

not attested not anchored not stored refs pending

Phase Space Formulation of Population Dynamics in Ecology

Jesus Martinez-Linares

arxiv:1304.2324 v1 · 2013-04-08 · q-bio.PE · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZ27TVR5U2YTS3TTTFVUELEEMH}

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	2026-05-18T03:28:43.404813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e75f9d63da6b1396e73996b422c8461ef0b75d52c4f3327fe39da6c131e8f09

Aliases

arxiv: 1304.2324 · arxiv_version: 1304.2324v1 · doi: 10.48550/arxiv.1304.2324 · pith_short_12: LZ27TVR5U2YT · pith_short_16: LZ27TVR5U2YTS3TT · pith_short_8: LZ27TVR5

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/LZ27TVR5U2YTS3TTTFVUELEEMH \
  | 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: 5e75f9d63da6b1396e73996b422c8461ef0b75d52c4f3327fe39da6c131e8f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a44f84c93c410cca6807982abe1e7c9300d46354f8cf23c22151d626c77e4d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-04-08T19:23:20Z",
    "title_canon_sha256": "b2949eea8faa144423015224f72a965d5c03fe18c8b8916af00c963a027cbd93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2324",
    "kind": "arxiv",
    "version": 1
  }
}