Pith Number

pith:KAPD63VQ

pith:2014:KAPD63VQOZMS4MIJ72EOQ2WLH7

not attested not anchored not stored refs pending

Geometry and combinatoric of Minkowski--Voronoi 3-dimesional continued fractions

Alexey Ustinov, Oleg Karpenkov

arxiv:1407.0135 v3 · 2014-07-01 · math.NT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAPD63VQOZMS4MIJ72EOQ2WLH7}

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	2026-05-18T00:51:37.677541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501e3f6eb076592e3109fe88e86acb3ff83623dab03b14ae0b5549c2606f36af

Aliases

arxiv: 1407.0135 · arxiv_version: 1407.0135v3 · doi: 10.48550/arxiv.1407.0135 · pith_short_12: KAPD63VQOZMS · pith_short_16: KAPD63VQOZMS4MIJ · pith_short_8: KAPD63VQ

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/KAPD63VQOZMS4MIJ72EOQ2WLH7 \
  | 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: 501e3f6eb076592e3109fe88e86acb3ff83623dab03b14ae0b5549c2606f36af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e0c2cb48937d16f8f4529c29d833b8f33f169d008cb818bfd5c67e4149a03d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-01T08:22:38Z",
    "title_canon_sha256": "f92314d8b7eb86cccb269dd57c6b7ed813cdc9c9f8b132d92a6438c43533a2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0135",
    "kind": "arxiv",
    "version": 3
  }
}