Pith Number

pith:JGCATA7D

pith:2016:JGCATA7DNO5TEFD66DV5HNLZFF

not attested not anchored not stored refs pending

The Incipient Giant Component in Bond Percolation on General Finite Weighted Graphs

David J. Aldous

arxiv:1604.06741 v1 · 2016-04-22 · 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{JGCATA7DNO5TEFD66DV5HNLZFF}

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	2026-05-18T01:16:28.263877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49840983e36bbb32147ef0ebd3b57929541d01bd27494b78ad9a22c5cd3b978c

Aliases

arxiv: 1604.06741 · arxiv_version: 1604.06741v1 · doi: 10.48550/arxiv.1604.06741 · pith_short_12: JGCATA7DNO5T · pith_short_16: JGCATA7DNO5TEFD6 · pith_short_8: JGCATA7D

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/JGCATA7DNO5TEFD66DV5HNLZFF \
  | 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: 49840983e36bbb32147ef0ebd3b57929541d01bd27494b78ad9a22c5cd3b978c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beec717268f5c17d5f87cb08fc1b955aad2ed06a16502eeeaac4849c970dfce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-22T16:44:04Z",
    "title_canon_sha256": "00182ed2a657d29b1e9cd0c0d45e04ccb11a11fe237c0acc9d8545c8840722eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06741",
    "kind": "arxiv",
    "version": 1
  }
}