Pith Number

pith:3JTWDDGX

pith:2015:3JTWDDGXJLXRFXTTDILNQ32OK3

not attested not anchored not stored refs pending

Clique percolation in random graphs

Bing-Hong Wang, Ming Li, Youjin Deng

arxiv:1508.01878 v2 · 2015-08-08 · cond-mat.stat-mech · cs.SI · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JTWDDGXJLXRFXTTDILNQ32OK3}

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	2026-05-18T01:30:48.709259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da67618cd74aef12de731a16d86f4e56cc81f24a2e4b10966fc8722983331312

Aliases

arxiv: 1508.01878 · arxiv_version: 1508.01878v2 · doi: 10.48550/arxiv.1508.01878 · pith_short_12: 3JTWDDGXJLXR · pith_short_16: 3JTWDDGXJLXRFXTT · pith_short_8: 3JTWDDGX

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/3JTWDDGXJLXRFXTTDILNQ32OK3 \
  | 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: da67618cd74aef12de731a16d86f4e56cc81f24a2e4b10966fc8722983331312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fb3026e485ff3ce1ae3c129ad0945bb7cd14132e8a8f0970a224ec5dd4f2e5",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-08-08T09:58:07Z",
    "title_canon_sha256": "9deb3fb5378cfbbd214c20c803c076d9496febbb4de2482d16c6372115ad21ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01878",
    "kind": "arxiv",
    "version": 2
  }
}