Pith Number

pith:OOCYFF76

pith:2025:OOCYFF764YUVVNNNBPPARD3CO7

not attested not anchored not stored refs pending

Maximal sets of a given diameter in Hamming cubes

Aleksandre Saatashvili, Boris Bukh

arxiv:2507.10828 v1 · 2025-07-14 · 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{OOCYFF764YUVVNNNBPPARD3CO7}

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	2026-07-05T11:37:00.381895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73858297fee6295ab5ad0bde088f6277dbf2f7b50c4b1d5753dbc009d715ad22

Aliases

arxiv: 2507.10828 · arxiv_version: 2507.10828v1 · doi: 10.48550/arxiv.2507.10828 · pith_short_12: OOCYFF764YUV · pith_short_16: OOCYFF764YUVVNNN · pith_short_8: OOCYFF76

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/OOCYFF764YUVVNNNBPPARD3CO7 \
  | 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: 73858297fee6295ab5ad0bde088f6277dbf2f7b50c4b1d5753dbc009d715ad22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db6397496f8c07c239a686beb651494a37f3b307132857d7bb01e67a49cd579f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-14T21:47:08Z",
    "title_canon_sha256": "9c855224137718ef49dd2b92625a8b2c38d244deba1b120c529722fef9f08013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10828",
    "kind": "arxiv",
    "version": 1
  }
}