Pith Number

pith:BT7HK5ZZ

pith:2013:BT7HK5ZZQMRG5ATPCOGBIER47V

not attested not anchored not stored refs pending

Tiling the integer lattice with translated sublattices

Danny Nguyen, Maciej Borodzik, Sinai Robins

arxiv:1306.2644 v2 · 2013-06-11 · math.NT · 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{BT7HK5ZZQMRG5ATPCOGBIER47V}

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	2026-05-18T01:13:29.008070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cfe75773983226e826f138c14123cfd47ace7be4070f1746829ff295b5b5ac5

Aliases

arxiv: 1306.2644 · arxiv_version: 1306.2644v2 · doi: 10.48550/arxiv.1306.2644 · pith_short_12: BT7HK5ZZQMRG · pith_short_16: BT7HK5ZZQMRG5ATP · pith_short_8: BT7HK5ZZ

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/BT7HK5ZZQMRG5ATPCOGBIER47V \
  | 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: 0cfe75773983226e826f138c14123cfd47ace7be4070f1746829ff295b5b5ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15c5084d28dba774eea64760c9b25cc9a8157110d163433477ce9795eb4806c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-11T20:03:26Z",
    "title_canon_sha256": "91d6bab27d4a3554845b9724ad27129a7cbb17bdbe4935f08f24cdf3e9843405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2644",
    "kind": "arxiv",
    "version": 2
  }
}