Pith Number

pith:5YIDWJZ3

pith:2014:5YIDWJZ3OQ5NDLKMJNA3OXE7PK

not attested not anchored not stored refs pending

Coexistence of grass, saplings and trees in the Staver-Levin forest model

Rick Durrett, Yuan Zhang

arxiv:1401.5220 v5 · 2014-01-21 · 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{5YIDWJZ3OQ5NDLKMJNA3OXE7PK}

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	2026-05-18T01:28:39.547412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee103b273b743ad1ad4c4b41b75c9f7a944215d591192f5ea5a60c6f094d398c

Aliases

arxiv: 1401.5220 · arxiv_version: 1401.5220v5 · doi: 10.48550/arxiv.1401.5220 · pith_short_12: 5YIDWJZ3OQ5N · pith_short_16: 5YIDWJZ3OQ5NDLKM · pith_short_8: 5YIDWJZ3

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/5YIDWJZ3OQ5NDLKMJNA3OXE7PK \
  | 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: ee103b273b743ad1ad4c4b41b75c9f7a944215d591192f5ea5a60c6f094d398c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32afd99a80ed47437ca4a1e64589220ebf1c1158c72113668634b11346d0e491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-21T08:45:46Z",
    "title_canon_sha256": "01f51c932f244da6a3e2a649c3b2e10c2aebe28c9024f5e5db5eb14365996358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5220",
    "kind": "arxiv",
    "version": 5
  }
}