Pith Number

pith:7FVVBOOV

pith:2025:7FVVBOOVIG52SZNKKI6ID4ROX5

not attested not anchored not stored refs pending

Improved Decomposition Bounds for Partition Polytopes and Odd-Covers

Abigail Nix, Bryce Frederickson, Steffen Borgwardt, Youngho Yoo, Zden\v{e}k Dvo\v{r}\'ak

arxiv:2507.12748 v2 · 2025-07-17 · 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{7FVVBOOVIG52SZNKKI6ID4ROX5}

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	2026-07-05T11:44:51.650807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f96b50b9d541bba965aa523c81f22ebf4cdb07f3c0f3649c950498fc834630b1

Aliases

arxiv: 2507.12748 · arxiv_version: 2507.12748v2 · doi: 10.48550/arxiv.2507.12748 · pith_short_12: 7FVVBOOVIG52 · pith_short_16: 7FVVBOOVIG52SZNK · pith_short_8: 7FVVBOOV

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/7FVVBOOVIG52SZNKKI6ID4ROX5 \
  | 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: f96b50b9d541bba965aa523c81f22ebf4cdb07f3c0f3649c950498fc834630b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166e5afde1a751f76884802a864c787d82184925b64520eb4e1fe156c6fff616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-17T03:05:23Z",
    "title_canon_sha256": "0ee153fd5250d83af96e0ea6617de82a0f9acf06a297e719adba58e0e0faf114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12748",
    "kind": "arxiv",
    "version": 2
  }
}