Pith Number

pith:KAPIGO4M

pith:2016:KAPIGO4MHDAHDC4CDGOLQTIKCA

not attested not anchored not stored refs pending

The symbol-pair distance distribution of repeated-root cyclic codes over $\mathbb{F}_{p^m}$

Liqi Wang, Shixin Zhu, Zhonghua Sun

arxiv:1607.01887 v1 · 2016-07-07 · 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{KAPIGO4MHDAHDC4CDGOLQTIKCA}

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	2026-05-18T01:11:23.079007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501e833b8c38c0718b82199cb84d0a100926a9e65ecaed1d5d57e1159a28eb85

Aliases

arxiv: 1607.01887 · arxiv_version: 1607.01887v1 · doi: 10.48550/arxiv.1607.01887 · pith_short_12: KAPIGO4MHDAH · pith_short_16: KAPIGO4MHDAHDC4C · pith_short_8: KAPIGO4M

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/KAPIGO4MHDAHDC4CDGOLQTIKCA \
  | 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: 501e833b8c38c0718b82199cb84d0a100926a9e65ecaed1d5d57e1159a28eb85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b73d459f9bd8703e4d5df94d1e098064bbe973e4d2dc98f28ee7aa44bef3e2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-07T06:59:14Z",
    "title_canon_sha256": "0d82b683cf0e5fb2f4336f239c22d2ae2407a7f61e613e0a10c02618dd301881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01887",
    "kind": "arxiv",
    "version": 1
  }
}