Pith Number

pith:URKXT7PM

pith:2024:URKXT7PMNHHJ5Z5VCLN2RUDT4C

not attested not anchored not stored refs pending

The number of random 2-SAT solutions is asymptotically log-normal

Amin Coja-Oghlan, Arnab Chatterjee, Connor Riddlesden, Haodong Zhu, Maurice Rolvien, Noela M\"uller, Pavel Zakharov

arxiv:2405.03302 v2 · 2024-05-06 · cs.DM · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URKXT7PMNHHJ5Z5VCLN2RUDT4C}

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	2026-07-05T09:09:22.122157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a45579fdec69ce9ee7b512dba8d073e090fdc7f94345c183227908093be11081

Aliases

arxiv: 2405.03302 · arxiv_version: 2405.03302v2 · doi: 10.48550/arxiv.2405.03302 · pith_short_12: URKXT7PMNHHJ · pith_short_16: URKXT7PMNHHJ5Z5V · pith_short_8: URKXT7PM

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/URKXT7PMNHHJ5Z5VCLN2RUDT4C \
  | 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: a45579fdec69ce9ee7b512dba8d073e090fdc7f94345c183227908093be11081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c31c347b73013808ffe10cfe49735dc38d40bc6c8dccf2a0b086d8aafc156a0",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2024-05-06T09:24:05Z",
    "title_canon_sha256": "376abb5b8bf2858cb01a28e24ee850cdcdcb4a452cfcf8fcfa84df138f38aa7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03302",
    "kind": "arxiv",
    "version": 2
  }
}