Pith Number

pith:4AJOFHJP

pith:2017:4AJOFHJP25A7MO7DCX66O2VRXU

not attested not anchored not stored refs pending

Self-regulation in the Bolker-Pacala model

Yuri Kondratiev, Yuri Kozitsky

arxiv:1702.04505 v1 · 2017-02-15 · math.DS · 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{4AJOFHJP25A7MO7DCX66O2VRXU}

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	2026-05-18T00:50:41.461432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e012e29d2fd741f63be315fde76ab1bd185566bd8d46098ba0a21857a7a764de

Aliases

arxiv: 1702.04505 · arxiv_version: 1702.04505v1 · doi: 10.48550/arxiv.1702.04505 · pith_short_12: 4AJOFHJP25A7 · pith_short_16: 4AJOFHJP25A7MO7D · pith_short_8: 4AJOFHJP

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/4AJOFHJP25A7MO7DCX66O2VRXU \
  | 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: e012e29d2fd741f63be315fde76ab1bd185566bd8d46098ba0a21857a7a764de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3376532b8496ded08bd5d77b43ea976284c10fea7c6d877fd60c7958a3ef8362",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-15T09:00:05Z",
    "title_canon_sha256": "7800dafdfc70a0e2457989c10cf3de32f0697baa4e9ce1b22b10e385031dca88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04505",
    "kind": "arxiv",
    "version": 1
  }
}