Pith Number

pith:QCMYYMWR

pith:2011:QCMYYMWRFWF7RHPYXNXC2WO4NY

not attested not anchored not stored refs pending

Cyclotomic Constructions of Cyclic Codes with Length Being the Product of Two Primes

Cunsheng Ding

arxiv:1111.2991 v1 · 2011-11-13 · 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{QCMYYMWRFWF7RHPYXNXC2WO4NY}

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	2026-05-18T04:08:23.326107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80998c32d12d8bf89df8bb6e2d59dc6e0c69dc2de6facb615b655eef8859c9ff

Aliases

arxiv: 1111.2991 · arxiv_version: 1111.2991v1 · doi: 10.48550/arxiv.1111.2991 · pith_short_12: QCMYYMWRFWF7 · pith_short_16: QCMYYMWRFWF7RHPY · pith_short_8: QCMYYMWR

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/QCMYYMWRFWF7RHPYXNXC2WO4NY \
  | 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: 80998c32d12d8bf89df8bb6e2d59dc6e0c69dc2de6facb615b655eef8859c9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7c3253a85c52376a5b4cd801cb46d1845c107e988119091013dfb572a3566a4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-13T06:35:49Z",
    "title_canon_sha256": "4331aba030275858437e063949db8eac0c2255df892d7a57fd73dffea5b456f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2991",
    "kind": "arxiv",
    "version": 1
  }
}