Pith Number

pith:XAAQ662P

pith:2009:XAAQ662PTBNN4HHT3UJSCPLSXH

not attested not anchored not stored refs pending

Scaling limit of the invasion percolation cluster on a regular tree

Jesse Goodman, Mathieu Merle, Omer Angel

arxiv:0910.4205 v2 · 2009-10-22 · 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{XAAQ662PTBNN4HHT3UJSCPLSXH}

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	2026-05-18T03:34:46.694233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8010f7b4f985ade1cf3dd13213d72b9d37d55c39cc3d2db377db71cd05f210f

Aliases

arxiv: 0910.4205 · arxiv_version: 0910.4205v2 · doi: 10.48550/arxiv.0910.4205 · pith_short_12: XAAQ662PTBNN · pith_short_16: XAAQ662PTBNN4HHT · pith_short_8: XAAQ662P

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/XAAQ662PTBNN4HHT3UJSCPLSXH \
  | 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: b8010f7b4f985ade1cf3dd13213d72b9d37d55c39cc3d2db377db71cd05f210f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488c9f37c5fd2f82edaf93e74d2e8f9cba04a47f439d9b05327eed5c6aae11e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-22T00:30:46Z",
    "title_canon_sha256": "f87a1da347c14ac832f143d9b9d58362c68bd20391aaf3289dd547cfe1076905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4205",
    "kind": "arxiv",
    "version": 2
  }
}