Pith Number

pith:KHYQXOKQ

pith:2017:KHYQXOKQCS2IDN4PNNH6GQYAOF

not attested not anchored not stored refs pending

Repeated-root constacyclic codes over finite commutative chain rings and their distances

Anuradha Sharma, Tania Sidana

arxiv:1706.06269 v2 · 2017-06-20 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHYQXOKQCS2IDN4PNNH6GQYAOF}

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	2026-05-18T00:34:34.872309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f10bb95014b481b78f6b4fe343007152097f6b9f3236432767d42c51354f3a

Aliases

arxiv: 1706.06269 · arxiv_version: 1706.06269v2 · doi: 10.48550/arxiv.1706.06269 · pith_short_12: KHYQXOKQCS2I · pith_short_16: KHYQXOKQCS2IDN4P · pith_short_8: KHYQXOKQ

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/KHYQXOKQCS2IDN4PNNH6GQYAOF \
  | 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: 51f10bb95014b481b78f6b4fe343007152097f6b9f3236432767d42c51354f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b41ce9c7940a88c8bbbf25ffd8ee5c7c33e9a82f33946d61f6c4c5716eeaf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-20T04:59:09Z",
    "title_canon_sha256": "1739fba048559184a2694c80ec3c5c858b38b565efc6d46183b5796fefc8c1c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06269",
    "kind": "arxiv",
    "version": 2
  }
}