Pith Number

pith:PMMFXKEV

pith:2015:PMMFXKEVYOK4QYZTDDLCRFB524

not attested not anchored not stored refs pending

Complete Weight Enumerator of a Family of Linear Codes from Cyclotomy

Chang-An Zhao, Shudi Yang, Zhang-An Yao

arxiv:1507.05732 v1 · 2015-07-21 · 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{PMMFXKEVYOK4QYZTDDLCRFB524}

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	2026-05-18T01:36:32.627421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b185ba895c395c8633318d628943dd71e4250a5ae9f946299ed205bb4c70d83

Aliases

arxiv: 1507.05732 · arxiv_version: 1507.05732v1 · doi: 10.48550/arxiv.1507.05732 · pith_short_12: PMMFXKEVYOK4 · pith_short_16: PMMFXKEVYOK4QYZT · pith_short_8: PMMFXKEV

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/PMMFXKEVYOK4QYZTDDLCRFB524 \
  | 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: 7b185ba895c395c8633318d628943dd71e4250a5ae9f946299ed205bb4c70d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad22c8a0c3b3262deb55052c235c649eaa2df05b6472b8b1cf7118c9e82f7a1a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-21T07:54:58Z",
    "title_canon_sha256": "41d583017c0137f3f1b00a96d8fa3c197475c103194760a79b5ed7194ebe2535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05732",
    "kind": "arxiv",
    "version": 1
  }
}