Pith Number

pith:BV6QVQLI

pith:2014:BV6QVQLILF2NXB3UEUYEXETTXP

not attested not anchored not stored refs pending

Space proof complexity for random $3$-CNFs via a $(2-\epsilon)$-Hall's Theorem

Ilario Bonacina, Nicola Galesi, Paul Wollan, Tony Huynh

arxiv:1411.1619 v1 · 2014-11-06 · cs.CC · 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{BV6QVQLILF2NXB3UEUYEXETTXP}

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	2026-05-18T02:38:27.383275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d7d0ac1685974db877425304b9273bbf7b300b911c361ca2fc5c18d1808eb09

Aliases

arxiv: 1411.1619 · arxiv_version: 1411.1619v1 · doi: 10.48550/arxiv.1411.1619 · pith_short_12: BV6QVQLILF2N · pith_short_16: BV6QVQLILF2NXB3U · pith_short_8: BV6QVQLI

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/BV6QVQLILF2NXB3UEUYEXETTXP \
  | 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: 0d7d0ac1685974db877425304b9273bbf7b300b911c361ca2fc5c18d1808eb09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5628ca0a1c4ac071ea3dab41fd772b237779051109b617520a815566010271",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-11-06T14:08:24Z",
    "title_canon_sha256": "c5fcf5a4e1300ec0717d2acfa266e9e914c6e597a3374d8fc3bfe0c920b737dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1619",
    "kind": "arxiv",
    "version": 1
  }
}