Pith Number

pith:J63WTVGB

pith:2016:J63WTVGBPTSRJWWZHL5KXER3LF

not attested not anchored not stored refs pending

Numerical approximation of a coagulation-Fragmentation Model for Animal Group Size Statistics

Maximilian Engel, Pierre Degond

arxiv:1604.06500 v2 · 2016-04-21 · math-ph · math.MP · 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{J63WTVGBPTSRJWWZHL5KXER3LF}

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	2026-05-18T00:12:40.962389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb769d4c17ce514dad93afaab923b5941f248a08f486fa2aad4d6ed5c468edb

Aliases

arxiv: 1604.06500 · arxiv_version: 1604.06500v2 · doi: 10.48550/arxiv.1604.06500 · pith_short_12: J63WTVGBPTSR · pith_short_16: J63WTVGBPTSRJWWZ · pith_short_8: J63WTVGB

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/J63WTVGBPTSRJWWZHL5KXER3LF \
  | 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: 4fb769d4c17ce514dad93afaab923b5941f248a08f486fa2aad4d6ed5c468edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88392cada63805c31368625d119e9e067a2ea001582ea9f483ff79aa9b8567ed",
    "cross_cats_sorted": [
      "math.MP",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-21T21:43:06Z",
    "title_canon_sha256": "17858dd15c3e14c7c2299e503d5f2975e827c47a26fc3142fc278ce04b7651af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06500",
    "kind": "arxiv",
    "version": 2
  }
}