Pith Number

pith:WC2RH5IO

pith:2015:WC2RH5IO567D5AEASHG4K25YKD

not attested not anchored not stored refs pending

Asymptotics for $2D$ Critical First Passage Percolation

Michael Damron, Wai-Kit Lam, Xuan Wang

arxiv:1505.07544 v2 · 2015-05-28 · 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{WC2RH5IO567D5AEASHG4K25YKD}

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	2026-05-18T01:35:15.876680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b513f50eefbe3e808091cdc56bb850d547424553492a5cb0df08010711d7be

Aliases

arxiv: 1505.07544 · arxiv_version: 1505.07544v2 · doi: 10.48550/arxiv.1505.07544 · pith_short_12: WC2RH5IO567D · pith_short_16: WC2RH5IO567D5AEA · pith_short_8: WC2RH5IO

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/WC2RH5IO567D5AEASHG4K25YKD \
  | 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: b0b513f50eefbe3e808091cdc56bb850d547424553492a5cb0df08010711d7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb0a6f9bac76ca55c578afc49e72bb837f097af465ece2daaae0ec45084a409",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-28T04:18:07Z",
    "title_canon_sha256": "3a4b6ca462eac378bbfda98d1dc7b924483a7534fb5f73f6e00cfe046b13b907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07544",
    "kind": "arxiv",
    "version": 2
  }
}