Pith Number

pith:5HV3QVK5

pith:2009:5HV3QVK52MI24QXVAMOQRTZOQK

not attested not anchored not stored refs pending

Percolation Transitions in Scale-Free Networks under Achlioptas Process

B. Kahng, D. Kim, J. Park, J.S. Kim, Y.S. Cho

arxiv:0907.0309 v3 · 2009-07-02 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HV3QVK52MI24QXVAMOQRTZOQK}

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	2026-05-18T02:13:11.269091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ebb8555dd311ae42f5031d08cf2e8282d8270daab9c54d92dd4dad1490fd07

Aliases

arxiv: 0907.0309 · arxiv_version: 0907.0309v3 · doi: 10.48550/arxiv.0907.0309 · pith_short_12: 5HV3QVK52MI2 · pith_short_16: 5HV3QVK52MI24QXV · pith_short_8: 5HV3QVK5

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/5HV3QVK52MI24QXVAMOQRTZOQK \
  | 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: e9ebb8555dd311ae42f5031d08cf2e8282d8270daab9c54d92dd4dad1490fd07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14063fbfeed268dd16daabea50c249bc6fefab9bc605e0aca7b5c19131cae3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-07-02T08:34:34Z",
    "title_canon_sha256": "01ab9cfc8c8ef6300bf62284b7605bf2ba663207dcc8f93e1954198c3e32ad46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0309",
    "kind": "arxiv",
    "version": 3
  }
}