Pith Number

pith:L7A3IGPM

pith:2024:L7A3IGPMJE4IOP573IHREDIETY

not attested not anchored not stored refs pending

The structure of sets with cube-avoiding sumsets

Peter Keevash, Thomas Karam

arxiv:2411.14145 v1 · 2024-11-21 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7A3IGPMJE4IOP573IHREDIETY}

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	2026-07-05T09:38:42.331746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc1b419ec4938873fbfda0f120d049e20d010d4087ef77652b68fea889929cb

Aliases

arxiv: 2411.14145 · arxiv_version: 2411.14145v1 · doi: 10.48550/arxiv.2411.14145 · pith_short_12: L7A3IGPMJE4I · pith_short_16: L7A3IGPMJE4IOP57 · pith_short_8: L7A3IGPM

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/L7A3IGPMJE4IOP573IHREDIETY \
  | 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: 5fc1b419ec4938873fbfda0f120d049e20d010d4087ef77652b68fea889929cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12aa8ef7665dedd606c2d7f11b5f045d0cdf535e8a2804d4f0e2b9b66f0060bf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-21T14:07:46Z",
    "title_canon_sha256": "8e1874fb7d44ae612a960743f9f431084457b0620f0b4093dd33dadc0ccc3bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14145",
    "kind": "arxiv",
    "version": 1
  }
}