Pith Number

pith:5VRBQ7PT

pith:2025:5VRBQ7PTPFWE4IVKHHLVWFMHJQ

not attested not anchored not stored refs pending

Symmetric Perceptrons, Number Partitioning and Lattices

Neekon Vafa, Vinod Vaikuntanathan

arxiv:2501.16517 v2 · 2025-01-27 · math.ST · cs.CC · math-ph · math.MP · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VRBQ7PTPFWE4IVKHHLVWFMHJQ}

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.

Cited by

1 paper in Pith

Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs

Receipt and verification

First computed	2026-07-05T11:44:00.575374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed62187df3796c4e22aa39d75b15874c38dc28e849f4ba385db387d0dd3f6f98

Aliases

arxiv: 2501.16517 · arxiv_version: 2501.16517v2 · doi: 10.48550/arxiv.2501.16517 · pith_short_12: 5VRBQ7PTPFWE · pith_short_16: 5VRBQ7PTPFWE4IVK · pith_short_8: 5VRBQ7PT

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/5VRBQ7PTPFWE4IVKHHLVWFMHJQ \
  | 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: ed62187df3796c4e22aa39d75b15874c38dc28e849f4ba385db387d0dd3f6f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc00df621568c978782e42defc283465759ab0175c6b10a610d23b001d075543",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.MP",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-01-27T21:31:01Z",
    "title_canon_sha256": "d476e88ddf5fec202e0072a3a66f8e6508e2f77aeac14db41870ca220dfd4a48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16517",
    "kind": "arxiv",
    "version": 2
  }
}