Pith Number

pith:O377NAC5

pith:2013:O377NAC5ZBBIHUJJ4MMWUM2HDQ

not attested not anchored not stored refs pending

Upper and lower bound on the cardinality containing shortest vectors in a lattice reduced by block Korkin-Zolotarev method (Russian)

Vasiliy Usatyuk

arxiv:1302.4062 v4 · 2013-02-17 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O377NAC5ZBBIHUJJ4MMWUM2HDQ}

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	2026-05-18T02:53:15.391586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76fff6805dc84283d129e3196a33471c0e466718e14ceb7d35eed4f545582bd0

Aliases

arxiv: 1302.4062 · arxiv_version: 1302.4062v4 · doi: 10.48550/arxiv.1302.4062 · pith_short_12: O377NAC5ZBBI · pith_short_16: O377NAC5ZBBIHUJJ · pith_short_8: O377NAC5

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/O377NAC5ZBBIHUJJ4MMWUM2HDQ \
  | 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: 76fff6805dc84283d129e3196a33471c0e466718e14ceb7d35eed4f545582bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d9067c1c7c52b56445e1636d51a1b61f96d2e0f8fbcb55d7a386049f1b0b01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-02-17T12:44:50Z",
    "title_canon_sha256": "76dff5a1000641f8eac75c04c369f41c84f87c65e941bddb2cad5aee04e8cda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4062",
    "kind": "arxiv",
    "version": 4
  }
}