Pith Number

pith:WAFUMWY3

pith:2013:WAFUMWY334DLKR2KSZYPPFMDHJ

not attested not anchored not stored refs pending

Constacyclic Codes over $F_p+vF_p$

Bocong Chen, Guanghui Zhang

arxiv:1301.0669 v1 · 2013-01-04 · 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{WAFUMWY334DLKR2KSZYPPFMDHJ}

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	2026-05-18T03:37:17.970398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00b465b1bdf06b5474a9670f795833a44c9a55f74df0911423267163574ce4a

Aliases

arxiv: 1301.0669 · arxiv_version: 1301.0669v1 · doi: 10.48550/arxiv.1301.0669 · pith_short_12: WAFUMWY334DL · pith_short_16: WAFUMWY334DLKR2K · pith_short_8: WAFUMWY3

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/WAFUMWY334DLKR2KSZYPPFMDHJ \
  | 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: b00b465b1bdf06b5474a9670f795833a44c9a55f74df0911423267163574ce4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e44ef5368bbdd65210b3aee3a3e98048a1185b4b99d36bf7e966ca7d69d755",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-04T04:02:13Z",
    "title_canon_sha256": "1710d21060d10ab046ce543a3eb70d3c94212e4ff0a88863910f9a779ae5f9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0669",
    "kind": "arxiv",
    "version": 1
  }
}