Pith Number

pith:IV3GGVFH

pith:2023:IV3GGVFH4J23UCYI7KDD3TN666

not attested not anchored not stored refs pending

Several families of ternary negacyclic codes and their duals

Cunsheng Ding, Zhonghua Sun

arxiv:2301.09783 v2 · 2023-01-24 · 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{IV3GGVFH4J23UCYI7KDD3TN666}

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	2026-07-05T05:35:48.852305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45766354a7e275ba0b08fa863dcdbef79a59704dc01867982e5d0b6ab746f831

Aliases

arxiv: 2301.09783 · arxiv_version: 2301.09783v2 · doi: 10.48550/arxiv.2301.09783 · pith_short_12: IV3GGVFH4J23 · pith_short_16: IV3GGVFH4J23UCYI · pith_short_8: IV3GGVFH

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/IV3GGVFH4J23UCYI7KDD3TN666 \
  | 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: 45766354a7e275ba0b08fa863dcdbef79a59704dc01867982e5d0b6ab746f831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e77e506c0ad623bc5b54beb18f6746d7bc78afa9d2b8f48e351b4e9a68c069",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-01-24T01:59:16Z",
    "title_canon_sha256": "81630f1e37752eecfd7d4d32ea09321362bb2a0133dcb19c78b59fb27e4e1026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.09783",
    "kind": "arxiv",
    "version": 2
  }
}