Pith Number

pith:IQKBNYXF

pith:2007:IQKBNYXF7GQTJAXVNPWWIIVGHS

not attested not anchored not stored refs pending

The Optimal Isodual Lattice Quantizer in Three Dimensions

J. H. Conway, N. J. A. Sloane

arxiv:math/0701080 v1 · 2007-01-03 · 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{IQKBNYXF7GQTJAXVNPWWIIVGHS}

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	2026-05-18T02:42:39.957781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441416e2e5f9a13482f56bed6422a63ca5b9e294046a1eda2bba522dcf089d4c

Aliases

arxiv: math/0701080 · arxiv_version: math/0701080v1 · doi: 10.48550/arxiv.math/0701080 · pith_short_12: IQKBNYXF7GQT · pith_short_16: IQKBNYXF7GQTJAXV · pith_short_8: IQKBNYXF

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/IQKBNYXF7GQTJAXVNPWWIIVGHS \
  | 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: 441416e2e5f9a13482f56bed6422a63ca5b9e294046a1eda2bba522dcf089d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c3af8357e7aef4792fc83291196ebc1790d0ac8710df6651286471dcda9d92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-01-03T05:11:31Z",
    "title_canon_sha256": "60ebb4656a7b0adc0939c0a4985351390bdc9a741822e7f3739b5940ad8949f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701080",
    "kind": "arxiv",
    "version": 1
  }
}