Pith Number

pith:7AKP2TDY

pith:2018:7AKP2TDY2G3YB5WKTUXN5ATPZ5

not attested not anchored not stored refs pending

Complete Weight Distribution and MacWilliams Identities for Asymmetric Quantum Codes

Chuangqiang Hu, Shudi Yang, Stephen S.-T. Yau

arxiv:1810.11969 v1 · 2018-10-29 · 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{7AKP2TDY2G3YB5WKTUXN5ATPZ5}

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	2026-05-18T00:02:06.852045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f814fd4c78d1b780f6ca9d2ede826fcf6fb45d65c01c3e9d7647d2c1c9b8650a

Aliases

arxiv: 1810.11969 · arxiv_version: 1810.11969v1 · doi: 10.48550/arxiv.1810.11969 · pith_short_12: 7AKP2TDY2G3Y · pith_short_16: 7AKP2TDY2G3YB5WK · pith_short_8: 7AKP2TDY

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/7AKP2TDY2G3YB5WKTUXN5ATPZ5 \
  | 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: f814fd4c78d1b780f6ca9d2ede826fcf6fb45d65c01c3e9d7647d2c1c9b8650a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4918579e2da3655e0ed6933d43422958da93e60b70c0ce7625ec21e6fe1f0e1a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-10-29T06:19:31Z",
    "title_canon_sha256": "1329a51b53168f7ed720610472856774582f843f7db1306cc658615f5d20a5f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11969",
    "kind": "arxiv",
    "version": 1
  }
}