Pith Number

pith:X5BPWOLQ

pith:2024:X5BPWOLQPIX7EUQPWDQE7VSHLP

not attested not anchored not stored refs pending

New quantum codes from constacyclic codes over finite chain rings

Heqian Xu, Ting Yao, Xiaoshan Kai, Yongsheng Tang

arxiv:2408.15558 v1 · 2024-08-28 · 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{X5BPWOLQPIX7EUQPWDQE7VSHLP}

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	2026-07-05T09:00:13.741734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf42fb39707a2ff2520fb0e04fd6475bc4c4caee88d552b61b95a5142113c65b

Aliases

arxiv: 2408.15558 · arxiv_version: 2408.15558v1 · doi: 10.48550/arxiv.2408.15558 · pith_short_12: X5BPWOLQPIX7 · pith_short_16: X5BPWOLQPIX7EUQP · pith_short_8: X5BPWOLQ

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/X5BPWOLQPIX7EUQPWDQE7VSHLP \
  | 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: bf42fb39707a2ff2520fb0e04fd6475bc4c4caee88d552b61b95a5142113c65b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5dcbaa5027dd2a55bf94c558a6a568a69648bb40a126d7c12a0c14ba49ea4e4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2024-08-28T06:19:42Z",
    "title_canon_sha256": "48556aa3fa32bade7170654803bd144af142a7f8e3aca73e908bda959e9698ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15558",
    "kind": "arxiv",
    "version": 1
  }
}