Pith Number

pith:NNBTGNAY

pith:2025:NNBTGNAYSFND5YYW72DLRAPBZA

not attested not anchored not stored refs pending

Codes over Finite Ring $\mathbb{Z}_k$, MacWilliams Identity and Theta Function

Fengxia Liu, Kun Tian, Zhiyong Zheng

arxiv:2504.12604 v1 · 2025-04-17 · cs.IT · cs.CR · 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{NNBTGNAYSFND5YYW72DLRAPBZA}

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	2026-07-05T10:50:19.412693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b43333418915a3ee316fe86b881e1c82b5bed15deab4c8ff304d10a20192ae3

Aliases

arxiv: 2504.12604 · arxiv_version: 2504.12604v1 · doi: 10.48550/arxiv.2504.12604 · pith_short_12: NNBTGNAYSFND · pith_short_16: NNBTGNAYSFND5YYW · pith_short_8: NNBTGNAY

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/NNBTGNAYSFND5YYW72DLRAPBZA \
  | 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: 6b43333418915a3ee316fe86b881e1c82b5bed15deab4c8ff304d10a20192ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a20e655e74d8bea78540b198dd3fe45d223f5016e1279731c1e86c6c3a206e",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-04-17T03:07:48Z",
    "title_canon_sha256": "73d9d98d9bd78837c2931b62011890b790e113d1e92cc09b0eb5da0c28a78993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12604",
    "kind": "arxiv",
    "version": 1
  }
}