Pith Number

pith:AIPL2WVK

pith:2017:AIPL2WVKLZZI5ECZQ65BIWX3FR

not attested not anchored not stored refs pending

Quantum Codes from Linear Codes over Finite Chain Rings

Hualu Liu, Xiusheng Liu

arxiv:1704.06375 v1 · 2017-04-21 · 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{AIPL2WVKLZZI5ECZQ65BIWX3FR}

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	2026-05-18T00:45:59.837761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

021ebd5aaa5e728e905987ba145afb2c6829d03687a4fee337f2829b539d7592

Aliases

arxiv: 1704.06375 · arxiv_version: 1704.06375v1 · doi: 10.48550/arxiv.1704.06375 · pith_short_12: AIPL2WVKLZZI · pith_short_16: AIPL2WVKLZZI5ECZ · pith_short_8: AIPL2WVK

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/AIPL2WVKLZZI5ECZQ65BIWX3FR \
  | 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: 021ebd5aaa5e728e905987ba145afb2c6829d03687a4fee337f2829b539d7592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9142a88e5689109e1ec72c2d160e5855657b29400d16e71836e6b9b79712a7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-21T01:28:36Z",
    "title_canon_sha256": "d96061402df10903a096ce25a410420763da175628ffe3b6cdfb921203457ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06375",
    "kind": "arxiv",
    "version": 1
  }
}