Pith Number

pith:UFKTNYBQ

pith:2005:UFKTNYBQNLHR6S4K2LUIU67CZY

not attested not anchored not stored refs pending

Spectral approach to linear programming bounds on codes

Alexander Barg, Dmitry Nogin

arxiv:cs/0512025 v2 · 2005-12-06 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFKTNYBQNLHR6S4K2LUIU67CZY}

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	2026-05-17T23:46:22.318855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a15536e0306acf1f4b8ad2e88a7be2ce0f357f1faf477a32ee4934a41e2c5b59

Aliases

arxiv: cs/0512025 · arxiv_version: cs/0512025v2 · doi: 10.48550/arxiv.cs/0512025 · pith_short_12: UFKTNYBQNLHR · pith_short_16: UFKTNYBQNLHR6S4K · pith_short_8: UFKTNYBQ

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/UFKTNYBQNLHR6S4K2LUIU67CZY \
  | 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: a15536e0306acf1f4b8ad2e88a7be2ce0f357f1faf477a32ee4934a41e2c5b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d598fa3b3cbf4694b8db173c1a84c0d0981abee2fa0ce5c6c50012277b1b19f0",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-12-06T04:36:39Z",
    "title_canon_sha256": "64005ce1b3e85f9058c6844ca3d2afadf0fd08e6f38ae33b8bd00f93ab9a63fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0512025",
    "kind": "arxiv",
    "version": 2
  }
}