Pith Number

pith:NAAZVKOK

pith:2017:NAAZVKOKWLXW7IZS2AU5IF3M55

not attested not anchored not stored refs pending

The Weight Hierarchy of a Family of Cyclic Codes with Arbitrary Number of Nonzeroes

Shuxing Li

arxiv:1702.01309 v1 · 2017-02-04 · 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{NAAZVKOKWLXW7IZS2AU5IF3M55}

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	2026-05-18T00:51:23.821469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68019aa9cab2ef6fa332d029d4176cef6a17f00ee611b056bebd7027ff1b2c6c

Aliases

arxiv: 1702.01309 · arxiv_version: 1702.01309v1 · doi: 10.48550/arxiv.1702.01309 · pith_short_12: NAAZVKOKWLXW · pith_short_16: NAAZVKOKWLXW7IZS · pith_short_8: NAAZVKOK

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/NAAZVKOKWLXW7IZS2AU5IF3M55 \
  | 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: 68019aa9cab2ef6fa332d029d4176cef6a17f00ee611b056bebd7027ff1b2c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1111f4c826ac6e59a9888d3c151d7ff6b4ae4b9d37e0854643cf42c45eac269",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-02-04T17:23:17Z",
    "title_canon_sha256": "02c4447726b4246eb2499d85c304346d6b5424de0d05dffe8b5d755b965aa3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01309",
    "kind": "arxiv",
    "version": 1
  }
}