Pith Number

pith:R33IINVV

pith:2019:R33IINVVDZVMSBFJ7WLLAPFVLQ

not attested not anchored not stored refs pending

Self-similar spreading in a merging-splitting model of animal group size

Barbara Niethammer, Jian-Guo Liu, Robert L. Pego

arxiv:1903.10020 v1 · 2019-03-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R33IINVVDZVMSBFJ7WLLAPFVLQ}

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	2026-05-17T23:47:16.635696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef68436b51e6ac904a9fd96b03cb55c3ce48ca308686465cc03cc0482748ba7

Aliases

arxiv: 1903.10020 · arxiv_version: 1903.10020v1 · doi: 10.48550/arxiv.1903.10020 · pith_short_12: R33IINVVDZVM · pith_short_16: R33IINVVDZVMSBFJ · pith_short_8: R33IINVV

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/R33IINVVDZVMSBFJ7WLLAPFVLQ \
  | 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: 8ef68436b51e6ac904a9fd96b03cb55c3ce48ca308686465cc03cc0482748ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536f5ee3150f1fc0785582ae7961ae09017f39f2968f5794c40e6fff4ccdc09d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-24T17:03:28Z",
    "title_canon_sha256": "19544c4fa2b6d6171ee443bc86f2c6ed9d7e4a35b4cc80233176ed382ed7fa11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10020",
    "kind": "arxiv",
    "version": 1
  }
}