Pith Number

pith:TULWW2A3

pith:2013:TULWW2A3HXNYY3MXFUKQ4I7WHW

not attested not anchored not stored refs pending

A Class of Five-weight Cyclic Codes and Their Weight Distribution

Haode Yan, Yan Liu

arxiv:1312.4638 v3 · 2013-12-17 · 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{TULWW2A3HXNYY3MXFUKQ4I7WHW}

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	2026-05-18T02:27:18.954505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d176b681b3ddb8c6d972d150e23f63d93b3bb70d0233107ae586d4e20b16749

Aliases

arxiv: 1312.4638 · arxiv_version: 1312.4638v3 · doi: 10.48550/arxiv.1312.4638 · pith_short_12: TULWW2A3HXNY · pith_short_16: TULWW2A3HXNYY3MX · pith_short_8: TULWW2A3

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/TULWW2A3HXNYY3MXFUKQ4I7WHW \
  | 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: 9d176b681b3ddb8c6d972d150e23f63d93b3bb70d0233107ae586d4e20b16749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b592b6a80c86a03a80708827ff9312a14ceeb25510a3491b93b573676bd9cdc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-17T04:49:37Z",
    "title_canon_sha256": "19a660d6fa1d45aff477185a47dcf7aebceb118e127e1136d6ae8d044c065649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4638",
    "kind": "arxiv",
    "version": 3
  }
}