Pith Number

pith:TC6CVBXU

pith:2013:TC6CVBXUVOLHC4IR5XORMW2W65

not attested not anchored not stored refs pending

On the weight hierarchy of codes coming from semigroups with two generators

D. Llena, J. I. Farr\'an, M. Delgado, P. A. Garc\'ia-S\'anchez

arxiv:1306.2862 v1 · 2013-06-12 · math.CO · cs.IT · math.IT · 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{TC6CVBXUVOLHC4IR5XORMW2W65}

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	2026-05-17T23:54:27.432685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bc2a86f4ab96717111eddd165b56f7482921fb795a99a2337d20b3899ff073

Aliases

arxiv: 1306.2862 · arxiv_version: 1306.2862v1 · doi: 10.48550/arxiv.1306.2862 · pith_short_12: TC6CVBXUVOLH · pith_short_16: TC6CVBXUVOLHC4IR · pith_short_8: TC6CVBXU

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/TC6CVBXUVOLHC4IR5XORMW2W65 \
  | 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: 98bc2a86f4ab96717111eddd165b56f7482921fb795a99a2337d20b3899ff073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "093fa314e3209e649b69b787a398bc82c322e614f5ca1a5e8b2d535e8b33b748",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-12T15:34:43Z",
    "title_canon_sha256": "699a7ec8d46816c42a6ce7d7789443ae438c9f80012257562cf14e1bbcca1063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2862",
    "kind": "arxiv",
    "version": 1
  }
}