Pith Number

pith:B332OPXZ

pith:2010:B332OPXZLAUTJIOEDOC2JEDNMI

not attested not anchored not stored refs pending

Reconstruction Threshold for the Hardcore Model

Allan Sly, Nayantara Bhatnagar, Prasad Tetali

arxiv:1004.3531 v1 · 2010-04-20 · math.PR · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B332OPXZLAUTJIOEDOC2JEDNMI}

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	2026-05-18T03:20:20.961076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef7a73ef9582934a1c41b85a4906d622f61044bc0a4b5240470187d942ccdd9

Aliases

arxiv: 1004.3531 · arxiv_version: 1004.3531v1 · doi: 10.48550/arxiv.1004.3531 · pith_short_12: B332OPXZLAUT · pith_short_16: B332OPXZLAUTJIOE · pith_short_8: B332OPXZ

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/B332OPXZLAUTJIOEDOC2JEDNMI \
  | 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: 0ef7a73ef9582934a1c41b85a4906d622f61044bc0a4b5240470187d942ccdd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5070f8bbf850c83520f359c0c9adc7c15a2cb41d55548b9bdea737014bdeb28f",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-20T19:09:06Z",
    "title_canon_sha256": "e030262442d7450331b2f3205e70a2dce9d4e7d320b52ff178e3b5ce0a929b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3531",
    "kind": "arxiv",
    "version": 1
  }
}