Pith Number

pith:LW3SMYXN

pith:2013:LW3SMYXNMU2THDMLBFOOFFISS4

not attested not anchored not stored refs pending

A generalization of bounds for cyclic codes, including the HT and BS bounds

Massimiliano Sala, Matteo Piva

arxiv:1306.4849 v1 · 2013-06-20 · 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{LW3SMYXNMU2THDMLBFOOFFISS4}

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	2026-05-18T01:18:00.522900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db72662ed6535338d8b095ce29512973ecfe0d046467851e8afa09687682922

Aliases

arxiv: 1306.4849 · arxiv_version: 1306.4849v1 · doi: 10.48550/arxiv.1306.4849 · pith_short_12: LW3SMYXNMU2T · pith_short_16: LW3SMYXNMU2THDML · pith_short_8: LW3SMYXN

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/LW3SMYXNMU2THDMLBFOOFFISS4 \
  | 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: 5db72662ed6535338d8b095ce29512973ecfe0d046467851e8afa09687682922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4bad528270cde5d0bede527fad2525d835b8f5d20dc445a985ac771eb05f13",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-20T12:27:49Z",
    "title_canon_sha256": "6fc8b2dc15fe7a7dd6faedb5e7a88ceec32e6518e5dea2ac430baf57002dbdc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4849",
    "kind": "arxiv",
    "version": 1
  }
}