Pith Number

pith:CFHKZOMY

pith:2016:CFHKZOMY3IZAKOT7VUASACGLZE

not attested not anchored not stored refs pending

Self-Dual Codes over $\mathbb{Z}_2\times (\mathbb{Z}_2+u\mathbb{Z}_2)$

Hongwei Liu, Long Yu, Qiong Huang, Xiusheng Liu

arxiv:1610.00900 v1 · 2016-10-04 · 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{CFHKZOMY3IZAKOT7VUASACGLZE}

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	2026-05-18T01:03:12.973781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114eacb998da32053a7fad012008cbc911ab38cf00aa41f2a407c8daa3eb664b

Aliases

arxiv: 1610.00900 · arxiv_version: 1610.00900v1 · doi: 10.48550/arxiv.1610.00900 · pith_short_12: CFHKZOMY3IZA · pith_short_16: CFHKZOMY3IZAKOT7 · pith_short_8: CFHKZOMY

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/CFHKZOMY3IZAKOT7VUASACGLZE \
  | 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: 114eacb998da32053a7fad012008cbc911ab38cf00aa41f2a407c8daa3eb664b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37a815ffcc270cbf4c058b00691c9a04c6e4a246b878356b5fa592dae3eb6ee2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-04T09:05:01Z",
    "title_canon_sha256": "6fe3c0944e788b71be1912e2afa182890fa255dc54ee2153808e3b7bd6dca5c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00900",
    "kind": "arxiv",
    "version": 1
  }
}