Pith Number

pith:IFZ6OLMB

pith:2016:IFZ6OLMBUCEDW7XTP62LYJGHYI

not attested not anchored not stored refs pending

A multi-class extension of the mean field Bolker-Pacala population model

Joseph Whitmeyer, Mariya Bessonov, Stanislav Molchanov

arxiv:1610.09569 v1 · 2016-10-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFZ6OLMBUCEDW7XTP62LYJGHYI}

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	2026-05-18T01:00:51.657556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4173e72d81a0883b7ef37fb4bc24c7c2148acfedae3559c09acfd16d585a33bc

Aliases

arxiv: 1610.09569 · arxiv_version: 1610.09569v1 · doi: 10.48550/arxiv.1610.09569 · pith_short_12: IFZ6OLMBUCED · pith_short_16: IFZ6OLMBUCEDW7XT · pith_short_8: IFZ6OLMB

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/IFZ6OLMBUCEDW7XTP62LYJGHYI \
  | 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: 4173e72d81a0883b7ef37fb4bc24c7c2148acfedae3559c09acfd16d585a33bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9771ab9cdef3fcc1b5004f6fe5e0c4fe163fba94e95032ce49825fb36ca8e31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-29T20:30:19Z",
    "title_canon_sha256": "062bb79eb82503bc887f5c2fc820ea527b282fb8e3b38ce5fe397cfcd84895cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09569",
    "kind": "arxiv",
    "version": 1
  }
}