Pith Number

pith:JLQAODSO

pith:2014:JLQAODSOXTGXDPDGECD762N3YR

not attested not anchored not stored refs pending

The phase transition in site percolation on pseudo-random graphs

Michael Krivelevich

arxiv:1404.5731 v3 · 2014-04-23 · math.CO · 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{JLQAODSOXTGXDPDGECD762N3YR}

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	2026-05-18T01:37:21.600392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae0070e4ebccd71bc662087ff69bbc46774aabc742fa32a54e8c18087d93c72

Aliases

arxiv: 1404.5731 · arxiv_version: 1404.5731v3 · doi: 10.48550/arxiv.1404.5731 · pith_short_12: JLQAODSOXTGX · pith_short_16: JLQAODSOXTGXDPDG · pith_short_8: JLQAODSO

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/JLQAODSOXTGXDPDGECD762N3YR \
  | 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: 4ae0070e4ebccd71bc662087ff69bbc46774aabc742fa32a54e8c18087d93c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3e95710d8c3c36cb7ca16da05093533a5c5d22dd10fbc72f444a6e78e40adb0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-23T07:59:41Z",
    "title_canon_sha256": "d1fff5c77e7450387795a9f26c0c074fb266284512decb1de82fbba02709e2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5731",
    "kind": "arxiv",
    "version": 3
  }
}