Pith Number

pith:33JIIWOI

pith:2015:33JIIWOIDTK3NKZDYKESBG5MIM

not attested not anchored not stored refs pending

Spectral Analysis of Quasi-Cyclic Product Codes

Alexander Zeh, San Ling

arxiv:1512.06690 v1 · 2015-12-21 · cs.IT · cs.DM · math.CO · 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{33JIIWOIDTK3NKZDYKESBG5MIM}

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	2026-05-18T01:23:59.905195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded28459c81cd5b6ab23c289209bac430265c3b9a49831f3f1d803e9364c69b2

Aliases

arxiv: 1512.06690 · arxiv_version: 1512.06690v1 · doi: 10.48550/arxiv.1512.06690 · pith_short_12: 33JIIWOIDTK3 · pith_short_16: 33JIIWOIDTK3NKZD · pith_short_8: 33JIIWOI

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/33JIIWOIDTK3NKZDYKESBG5MIM \
  | 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: ded28459c81cd5b6ab23c289209bac430265c3b9a49831f3f1d803e9364c69b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611ea77d9012b9d8dbb7be0f01dc411e84654c146d43b2f8b6c02b34dc9856b3",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-21T16:44:32Z",
    "title_canon_sha256": "719f6846649c5c23db3d082bf3fe0d4db772669a609691866e027fa67c26cf1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06690",
    "kind": "arxiv",
    "version": 1
  }
}