Pith Number

pith:45G5PDDM

pith:2010:45G5PDDMCHJQKPJJY7H6OSXKDU

not attested not anchored not stored refs pending

Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models

Michael Damron, Michael Hochman

arxiv:1009.2523 v3 · 2010-09-13 · math.PR · math-ph · 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{45G5PDDMCHJQKPJJY7H6OSXKDU}

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	2026-05-18T03:31:07.153629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74dd78c6c11d3053d29c7cfe74aea1d3123c28b5bdb45beeff0fb898de23812

Aliases

arxiv: 1009.2523 · arxiv_version: 1009.2523v3 · doi: 10.48550/arxiv.1009.2523 · pith_short_12: 45G5PDDMCHJQ · pith_short_16: 45G5PDDMCHJQKPJJ · pith_short_8: 45G5PDDM

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/45G5PDDMCHJQKPJJY7H6OSXKDU \
  | 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: e74dd78c6c11d3053d29c7cfe74aea1d3123c28b5bdb45beeff0fb898de23812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "604ec6b4e2adf8c9d4935804bf87d334244c38046864d08d991bba8874cdd5f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-13T21:04:46Z",
    "title_canon_sha256": "bf27aef341916598d9bf42e76b0a631fb2bb212571b2f5bed6968134cda40871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2523",
    "kind": "arxiv",
    "version": 3
  }
}