Pith Number

pith:JM5S3NM7

pith:2025:JM5S3NM7K7MHYVGFIGW5BIDG2F

not attested not anchored not stored refs pending

Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa

Benjamin Bedert, Karolina Okrasa, Stanislav \v{Z}ivn\'y, Tamio-Vesa Nakajima

arxiv:2507.17878 v4 · 2025-07-23 · cs.DS · cs.CC · 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{JM5S3NM7K7MHYVGFIGW5BIDG2F}

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	2026-05-17T23:39:04.855900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3b2db59f57d87c54c541add0a066d17654ac6029d23d62a0eb7344701080d2

Aliases

arxiv: 2507.17878 · arxiv_version: 2507.17878v4 · doi: 10.48550/arxiv.2507.17878 · pith_short_12: JM5S3NM7K7MH · pith_short_16: JM5S3NM7K7MHYVGF · pith_short_8: JM5S3NM7

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/JM5S3NM7K7MHYVGFIGW5BIDG2F \
  | 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: 4b3b2db59f57d87c54c541add0a066d17654ac6029d23d62a0eb7344701080d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a1a8b6e21f7ecc8b577a602a28c968905a50810cb0aeb1dce0dc6f91f35d4a",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-07-23T19:11:32Z",
    "title_canon_sha256": "fc1695c67a06e6c65389b54abafc7387df3e6ce8f1e33250ceefa4746880ef75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17878",
    "kind": "arxiv",
    "version": 4
  }
}