Pith Number

pith:QV3QXI6E

pith:2013:QV3QXI6EYO2SHD7HOI47PENL7H

not attested not anchored not stored refs pending

Optimal Ternary Cyclic Codes with Minimum Distance Four and Five

Chunlei Li, Cunsheng Ding, Nian Li, Tor Helleseth, Xiaohu Tang

arxiv:1309.1218 v1 · 2013-09-05 · 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{QV3QXI6EYO2SHD7HOI47PENL7H}

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	2026-05-18T03:14:07.959291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85770ba3c4c3b5238fe77239f791abf9f13e75657780a1a70d973121fc04aeb5

Aliases

arxiv: 1309.1218 · arxiv_version: 1309.1218v1 · doi: 10.48550/arxiv.1309.1218 · pith_short_12: QV3QXI6EYO2S · pith_short_16: QV3QXI6EYO2SHD7H · pith_short_8: QV3QXI6E

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/QV3QXI6EYO2SHD7HOI47PENL7H \
  | 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: 85770ba3c4c3b5238fe77239f791abf9f13e75657780a1a70d973121fc04aeb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1676b4a4be05677ba50aa4c968d9d62061a9a0550660a9ea1e0b2ea75d117589",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-05T01:46:46Z",
    "title_canon_sha256": "c4d385d7289dc7de7c407a40be13d4b6d023e3d11b6c8babd48a9e95e0fb5272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1218",
    "kind": "arxiv",
    "version": 1
  }
}