Pith Number

pith:TPOTFLIH

pith:2013:TPOTFLIHCPGVKPWHMREZTKJN7G

not attested not anchored not stored refs pending

Five Families of Three-Weight Ternary Cyclic Codes and Their Duals

Cunsheng Ding, Ying Gao, Zhengchun Zhou

arxiv:1308.5373 v1 · 2013-08-25 · 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{TPOTFLIHCPGVKPWHMREZTKJN7G}

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	2026-05-18T03:15:04.898359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bdd32ad0713cd553ec7644999a92df9b3ddb83ebba479067120e69a6d31606c

Aliases

arxiv: 1308.5373 · arxiv_version: 1308.5373v1 · doi: 10.48550/arxiv.1308.5373 · pith_short_12: TPOTFLIHCPGV · pith_short_16: TPOTFLIHCPGVKPWH · pith_short_8: TPOTFLIH

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/TPOTFLIHCPGVKPWHMREZTKJN7G \
  | 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: 9bdd32ad0713cd553ec7644999a92df9b3ddb83ebba479067120e69a6d31606c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35a350b0332838b5c3400760e2728935b9c603849ebc4c630b8779f26ca4c21",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-25T03:31:07Z",
    "title_canon_sha256": "b92d25873e340982cdf7e123883f2f80ea0e64f799250cfb33c2f2688209d2ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5373",
    "kind": "arxiv",
    "version": 1
  }
}