Pith Number

pith:ZDEWC3R4

pith:2019:ZDEWC3R4VJETRQGNLMW2TGEDJR

not attested not anchored not stored refs pending

Optimal p-ary cyclic codes with two zeros

Xiwang Cao, Yan Liu

arxiv:1908.03070 v1 · 2019-08-08 · 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{ZDEWC3R4VJETRQGNLMW2TGEDJR}

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	2026-07-04T23:52:25.925339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c9616e3caa4938c0cd5b2da998834c65cb497929a56ce504bd8cde9fbfb12b

Aliases

arxiv: 1908.03070 · arxiv_version: 1908.03070v1 · doi: 10.48550/arxiv.1908.03070 · pith_short_12: ZDEWC3R4VJET · pith_short_16: ZDEWC3R4VJETRQGN · pith_short_8: ZDEWC3R4

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/ZDEWC3R4VJETRQGNLMW2TGEDJR \
  | 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: c8c9616e3caa4938c0cd5b2da998834c65cb497929a56ce504bd8cde9fbfb12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9878342f7cbec89cb55d7f36ec81003355f24ccf39e9e7022880339bbfc521aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-08-08T13:44:43Z",
    "title_canon_sha256": "17ec51c880c598aa1d3bcc45e7cd292a1c38446a5b232bcffcf4233cf582c79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03070",
    "kind": "arxiv",
    "version": 1
  }
}