Pith Number

pith:7FYBLGUE

pith:2010:7FYBLGUEJGKUOWDD73RJ2ULAQI

not attested not anchored not stored refs pending

The rigidity transition in random graphs

Cristopher Moore, Louis Theran, Shiva Prasad Kasiviswanathan

arxiv:1010.3605 v2 · 2010-10-18 · math.CO · cond-mat.dis-nn · cond-mat.stat-mech · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FYBLGUEJGKUOWDD73RJ2ULAQI}

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	2026-05-18T03:50:09.349009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f970159a844995475863fee29d51608209d26ecff77ddc9e207092dc89c1a481

Aliases

arxiv: 1010.3605 · arxiv_version: 1010.3605v2 · doi: 10.48550/arxiv.1010.3605 · pith_short_12: 7FYBLGUEJGKU · pith_short_16: 7FYBLGUEJGKUOWDD · pith_short_8: 7FYBLGUE

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/7FYBLGUEJGKUOWDD73RJ2ULAQI \
  | 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: f970159a844995475863fee29d51608209d26ecff77ddc9e207092dc89c1a481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c1ee8d7a15eb301dae649e908a6f85a0acc1948b90f7f3f8f42506aa42bfec",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "cs.CG",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-18T14:14:16Z",
    "title_canon_sha256": "fcd3209e3dbde93fe094091f6289dc9431663d00d695feb5596321f5b26529ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3605",
    "kind": "arxiv",
    "version": 2
  }
}