Pith Number

pith:QCBODQXE

pith:2013:QCBODQXEO3QIN6RVLMOQI6FQPI

not attested not anchored not stored refs pending

Quasi-Cyclic Codes Over Finite Chain Rings

Fang-Wei Fu, Jian Gao, Linzhi Shen

arxiv:1309.1623 v1 · 2013-09-06 · 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{QCBODQXEO3QIN6RVLMOQI6FQPI}

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	2026-05-18T03:13:59.010790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8082e1c2e476e086fa355b1d0478b07a0010bc26bf9075a7c34f9fd498ea646d

Aliases

arxiv: 1309.1623 · arxiv_version: 1309.1623v1 · doi: 10.48550/arxiv.1309.1623 · pith_short_12: QCBODQXEO3QI · pith_short_16: QCBODQXEO3QIN6RV · pith_short_8: QCBODQXE

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/QCBODQXEO3QIN6RVLMOQI6FQPI \
  | 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: 8082e1c2e476e086fa355b1d0478b07a0010bc26bf9075a7c34f9fd498ea646d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0876972bcd3b9f30e2225302d44a3e368a8ac52ee15cc0a980191cadca3c8aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-06T12:55:59Z",
    "title_canon_sha256": "c8a5c7fcf63848ff9cee146464f3f1fdb3e9240eaf013baea7034b65fa75f60e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1623",
    "kind": "arxiv",
    "version": 1
  }
}