Pith Number

pith:LZHP7RBT

pith:2011:LZHP7RBT76M4LUCXY2VF2VWB5C

not attested not anchored not stored refs pending

Establishment and Fecundity in Spatial Ecological Models: Statistical Approach and Kinetic Equations

Dmitri Finkelshtein, Oleksandr Kutoviy, Yuri Kondratiev

arxiv:1112.1973 v2 · 2011-12-08 · math.FA · math-ph · math.DS · 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{LZHP7RBT76M4LUCXY2VF2VWB5C}

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	2026-05-18T02:28:48.531987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e4effc433ff99c5d057c6aa5d56c1e88e5ed5d11e4675e2cc5e1b5f1ec4d67b

Aliases

arxiv: 1112.1973 · arxiv_version: 1112.1973v2 · doi: 10.48550/arxiv.1112.1973 · pith_short_12: LZHP7RBT76M4 · pith_short_16: LZHP7RBT76M4LUCX · pith_short_8: LZHP7RBT

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/LZHP7RBT76M4LUCXY2VF2VWB5C \
  | 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: 5e4effc433ff99c5d057c6aa5d56c1e88e5ed5d11e4675e2cc5e1b5f1ec4d67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dcb6d0fd473c22909a7ebf22a1b74a68f451daade1333fc89a8ac8d9aac12c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-08T21:59:38Z",
    "title_canon_sha256": "e9f8ddf0f07d759ad5e46562b3cc06625960de5def961f0c13dae9858af708fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1973",
    "kind": "arxiv",
    "version": 2
  }
}