Pith Number

pith:2BZ36QNQ

pith:2014:2BZ36QNQ5TYS3HHEVHL3SDFYUU

not attested not anchored not stored refs pending

Self-dual codes and quadratic residue codes over the ring $\mathbb{Z}_9+u\mathbb{Z}_9$

Fang-Wei Fu, Jian Gao, XianFang Wang

arxiv:1405.3347 v3 · 2014-05-14 · cs.IT · math.IT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BZ36QNQ5TYS3HHEVHL3SDFYUU}

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	2026-05-18T02:30:15.601238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d073bf41b0ecf12d9ce4a9d7b90cb8a526d69e04c4eff3a9100de72bd5aaebf4

Aliases

arxiv: 1405.3347 · arxiv_version: 1405.3347v3 · doi: 10.48550/arxiv.1405.3347 · pith_short_12: 2BZ36QNQ5TYS · pith_short_16: 2BZ36QNQ5TYS3HHE · pith_short_8: 2BZ36QNQ

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/2BZ36QNQ5TYS3HHEVHL3SDFYUU \
  | 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: d073bf41b0ecf12d9ce4a9d7b90cb8a526d69e04c4eff3a9100de72bd5aaebf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05dc99d4ab0c5cd20a1610a187db9f7c31e06acd933f768de62d772ead362290",
    "cross_cats_sorted": [
      "math.IT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-05-14T02:13:27Z",
    "title_canon_sha256": "061df0f8a9e1babf07ffbe398d6b005545cf92903f9f6749518f8278f19fe5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3347",
    "kind": "arxiv",
    "version": 3
  }
}