Pith Number

pith:Y4HJJOEP

pith:2010:Y4HJJOEPC43FYMJMQG72LQK5DZ

not attested not anchored not stored refs pending

Independent sets in random graphs from the weighted second moment method

Cristopher Moore, Varsha Dani

arxiv:1011.0180 v2 · 2010-10-31 · cs.CC · cond-mat.stat-mech · 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{Y4HJJOEPC43FYMJMQG72LQK5DZ}

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	2026-05-18T04:08:24.478744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70e94b88f17365c312c81bfa5c15d1e7b99cf9e4c8cca7bc2fa852e3ebc7fda

Aliases

arxiv: 1011.0180 · arxiv_version: 1011.0180v2 · doi: 10.48550/arxiv.1011.0180 · pith_short_12: Y4HJJOEPC43F · pith_short_16: Y4HJJOEPC43FYMJM · pith_short_8: Y4HJJOEP

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/Y4HJJOEPC43FYMJMQG72LQK5DZ \
  | 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: c70e94b88f17365c312c81bfa5c15d1e7b99cf9e4c8cca7bc2fa852e3ebc7fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9223c5430ac6b8444214b9caabf36f4e75646158e94fad62c36ee3a6a5625bb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-10-31T17:12:57Z",
    "title_canon_sha256": "3e79ba75cf89f0eece6c0cd671dbfb4c968b364a0f5587d2dcddd70de9d9dbbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0180",
    "kind": "arxiv",
    "version": 2
  }
}