Pith Number

pith:HSXDUBYM

pith:2024:HSXDUBYM5YS7OH3OQKVTLDYRJX

not attested not anchored not stored refs pending

On the MacWilliams Theorem over Codes and Lattices

Fengxia Liu, Kun Tian, Zhiyong Zheng

arxiv:2407.20874 v1 · 2024-07-30 · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSXDUBYM5YS7OH3OQKVTLDYRJX}

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	2026-07-05T08:50:19.867106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cae3a070cee25f71f6e82ab358f114dcb2fdfd5fca426281ffeac062ce59282

Aliases

arxiv: 2407.20874 · arxiv_version: 2407.20874v1 · doi: 10.48550/arxiv.2407.20874 · pith_short_12: HSXDUBYM5YS7 · pith_short_16: HSXDUBYM5YS7OH3O · pith_short_8: HSXDUBYM

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/HSXDUBYM5YS7OH3OQKVTLDYRJX \
  | 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: 3cae3a070cee25f71f6e82ab358f114dcb2fdfd5fca426281ffeac062ce59282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37fdbd6e928068309242c0a122e6e64617c8cd1ac7c6b586594a5bbdd309fe34",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2024-07-30T14:54:02Z",
    "title_canon_sha256": "2fd891755e5aa5f513400da789b921a9658919a006cdd6d95c5d7d59c1141ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.20874",
    "kind": "arxiv",
    "version": 1
  }
}