Pith Number

pith:G2CVSDH2

pith:2025:G2CVSDH2THL7KZX6BCNTVRHLOD

not attested not anchored not stored refs pending

Cover time of random subgraphs of the hypercube

Alan Frieze, Colin Cooper, Wesley Pegden

arxiv:2506.03375 v1 · 2025-06-03 · math.CO · 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{G2CVSDH2THL7KZX6BCNTVRHLOD}

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	2026-07-05T11:15:26.429712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3685590cfa99d7f566fe089b3ac4eb70f6342b6b2b0d89847e013bc0035c347a

Aliases

arxiv: 2506.03375 · arxiv_version: 2506.03375v1 · doi: 10.48550/arxiv.2506.03375 · pith_short_12: G2CVSDH2THL7 · pith_short_16: G2CVSDH2THL7KZX6 · pith_short_8: G2CVSDH2

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/G2CVSDH2THL7KZX6BCNTVRHLOD \
  | 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: 3685590cfa99d7f566fe089b3ac4eb70f6342b6b2b0d89847e013bc0035c347a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf98eb48be7b93725235e498fdb6d136cf31bade3cfd72432ce7622e50d2ee3b",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-03T20:32:45Z",
    "title_canon_sha256": "c85c1343e681eadc92eb8c99731baa34886e205db25718f9999f2cbd74f64ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03375",
    "kind": "arxiv",
    "version": 1
  }
}