Pith Number

pith:J5F6S4MD

pith:2015:J5F6S4MDREDCIUJTMCYLFKTORO

not attested not anchored not stored refs pending

Perfect codes in the lp metric

and Jo\~ao Strapasson, Antonio Campello, Grasiele C. Jorge, Sueli I. R. Costa

arxiv:1506.02517 v2 · 2015-06-08 · math.CO · cs.IT · 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{J5F6S4MDREDCIUJTMCYLFKTORO}

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	2026-05-18T01:27:23.527857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4be97183890624513360b0b2aa6e8ba6886215f82b45b73ce7d281cbd7bbc9

Aliases

arxiv: 1506.02517 · arxiv_version: 1506.02517v2 · doi: 10.48550/arxiv.1506.02517 · pith_short_12: J5F6S4MDREDC · pith_short_16: J5F6S4MDREDCIUJT · pith_short_8: J5F6S4MD

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/J5F6S4MDREDCIUJTMCYLFKTORO \
  | 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: 4f4be97183890624513360b0b2aa6e8ba6886215f82b45b73ce7d281cbd7bbc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c803accafcf72a169e4ac97a45c537c6735d5099ea6634998556f1e1a1f17bb5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-08T14:25:17Z",
    "title_canon_sha256": "29531783050a34b65da5f608be45e6b39c6632c2d0d713ca7ab413a6eb2c7956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02517",
    "kind": "arxiv",
    "version": 2
  }
}