Pith Number

pith:DYCLOLG3

pith:2019:DYCLOLG3TTLPOIYO7JSEXAQDMF

not attested not anchored not stored refs pending

Construction and enumeration for self-dual cyclic codes of even length over $\mathbb{F}_{2^m} + u\mathbb{F}_{2^m}$

Fanghui Ma, Fang-Wei Fu, Hai Q. Dinh, Yonglin Cao, Yuan Cao

arxiv:1907.07111 v1 · 2019-07-14 · 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{DYCLOLG3TTLPOIYO7JSEXAQDMF}

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	2026-05-17T23:40:28.048255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e04b72cdb9cd6f7230efa644b8203617596fed7912f4c8e9719aa009dc4bcb1

Aliases

arxiv: 1907.07111 · arxiv_version: 1907.07111v1 · doi: 10.48550/arxiv.1907.07111 · pith_short_12: DYCLOLG3TTLP · pith_short_16: DYCLOLG3TTLPOIYO · pith_short_8: DYCLOLG3

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/DYCLOLG3TTLPOIYO7JSEXAQDMF \
  | 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: 1e04b72cdb9cd6f7230efa644b8203617596fed7912f4c8e9719aa009dc4bcb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f000e057232a6c88192ccf162ddeadb388d047af4af196ecf2d783dfd7f01ee4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-07-14T13:43:24Z",
    "title_canon_sha256": "5431bd8ee8c021e0f1b4b1b62a4271d63cc5c00a0631fcfef502421a7ef9e03d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07111",
    "kind": "arxiv",
    "version": 1
  }
}