Pith Number

pith:ASAKX5WF

pith:2024:ASAKX5WFYCWOLDIS4K2VSVTIUL

not attested not anchored not stored refs pending

Random $2$-SAT: The set of atoms of the limiting empirical marginal distribution

Haodong Zhu, Noela M\"uller, Ralph Neininger

arxiv:2410.17749 v1 · 2024-10-23 · math.PR · 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{ASAKX5WFYCWOLDIS4K2VSVTIUL}

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	2026-07-05T09:24:44.404990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0480abf6c5c0ace58d12e2b5595668a2ce7da113775b908e2177b262e5778521

Aliases

arxiv: 2410.17749 · arxiv_version: 2410.17749v1 · doi: 10.48550/arxiv.2410.17749 · pith_short_12: ASAKX5WFYCWO · pith_short_16: ASAKX5WFYCWOLDIS · pith_short_8: ASAKX5WF

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/ASAKX5WFYCWOLDIS4K2VSVTIUL \
  | 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: 0480abf6c5c0ace58d12e2b5595668a2ce7da113775b908e2177b262e5778521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965a6f56ec576be4245c3be91d77195f3115232b6395b8482fb5c867e418344f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-23T10:25:17Z",
    "title_canon_sha256": "d87e38afc615745af687363b67272260f943e5c38427ac385656142342a26b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17749",
    "kind": "arxiv",
    "version": 1
  }
}