Pith Number

pith:W6HRH5BS

pith:2020:W6HRH5BSR57VSUZ5CTE4TXDJRE

not attested not anchored not stored refs pending

The random 2-SAT partition function

Amin Coja-Oghlan, Dimitris Achlioptas, Guangyan Zhou, Joon Lee, Manuel Penschuck, Max Hahn-Klimroth, Noela M\"uller

arxiv:2002.03690 v1 · 2020-02-10 · 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{W6HRH5BSR57VSUZ5CTE4TXDJRE}

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	2026-07-05T02:34:39.053172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78f13f4328f7f59533d14c9c9dc69890453f9e176bcdbbd224a9e80e1e3ddfb

Aliases

arxiv: 2002.03690 · arxiv_version: 2002.03690v1 · doi: 10.48550/arxiv.2002.03690 · pith_short_12: W6HRH5BSR57V · pith_short_16: W6HRH5BSR57VSUZ5 · pith_short_8: W6HRH5BS

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/W6HRH5BSR57VSUZ5CTE4TXDJRE \
  | 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: b78f13f4328f7f59533d14c9c9dc69890453f9e176bcdbbd224a9e80e1e3ddfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32a375dfa41c5eb5f657c2f0ae7440785e578dbf2e41f80acc5af9da0d090d7",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-02-10T12:47:56Z",
    "title_canon_sha256": "6dd06aa88e1bbe49c71c3ed15a71f706ebbf275f7ea5185ccd8f77fdf639a2bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03690",
    "kind": "arxiv",
    "version": 1
  }
}