Pith Number

pith:7UW5WPEL

pith:2009:7UW5WPELE62TND5FNPTDRIDCOE

not attested not anchored not stored refs pending

Sharpness of the percolation transition in the two-dimensional contact process

J. van den Berg

arxiv:0907.2843 v2 · 2009-07-16 · 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{7UW5WPELE62TND5FNPTDRIDCOE}

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	2026-05-18T04:32:00.101956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2ddb3c8b27b5368fa56be638a062711e5d119267de789718d6327ebc61b0b6

Aliases

arxiv: 0907.2843 · arxiv_version: 0907.2843v2 · doi: 10.48550/arxiv.0907.2843 · pith_short_12: 7UW5WPELE62T · pith_short_16: 7UW5WPELE62TND5F · pith_short_8: 7UW5WPEL

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/7UW5WPELE62TND5FNPTDRIDCOE \
  | 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: fd2ddb3c8b27b5368fa56be638a062711e5d119267de789718d6327ebc61b0b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcfe1ba7966e88924df0a2127b8feef2ee91832646578321f4903ec05a3dc4c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-16T13:53:46Z",
    "title_canon_sha256": "4c2acb310c365bdb2b05fab45d7af29f54ecfae74898ae477fd09fb2c99263e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2843",
    "kind": "arxiv",
    "version": 2
  }
}