Pith Number

pith:ZUQCOUCL

pith:2019:ZUQCOUCLBVHHFCQVWPUAKBWZFJ

not attested not anchored not stored refs pending

Isodual and Self-dual Codes from Graphs

Bahattin Yildiz, Sudipta Mallik

arxiv:1908.03513 v2 · 2019-08-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUQCOUCLBVHHFCQVWPUAKBWZFJ}

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	2026-07-05T02:05:05.340569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd2027504b0d4e728a15b3e80506d92a79f41d87c376dbc4b054ce2132471b2d

Aliases

arxiv: 1908.03513 · arxiv_version: 1908.03513v2 · doi: 10.48550/arxiv.1908.03513 · pith_short_12: ZUQCOUCLBVHH · pith_short_16: ZUQCOUCLBVHHFCQV · pith_short_8: ZUQCOUCL

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/ZUQCOUCLBVHHFCQVWPUAKBWZFJ \
  | 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: cd2027504b0d4e728a15b3e80506d92a79f41d87c376dbc4b054ce2132471b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5559ada55f223c7dec079f97199cad603772c1d5a52c15a4c9fd2cb8f65cac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-09T16:07:35Z",
    "title_canon_sha256": "e1cf3d16322874cd873a2e615d02bd304c40b079d85c1744af9283ff9f5e4d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03513",
    "kind": "arxiv",
    "version": 2
  }
}