Pith Number

pith:4DKDQFQD

pith:2015:4DKDQFQDRRZ6IZ3PJA3YU4AWXA

not attested not anchored not stored refs pending

Constacyclic codes of length $p^sn$ over $\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$

Fang-Wei Fu, Jian Gao, Yonglin Cao, Yuan Cao

arxiv:1512.01406 v2 · 2015-12-04 · 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{4DKDQFQDRRZ6IZ3PJA3YU4AWXA}

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	2026-05-18T00:32:15.310810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d43816038c73e4676f48378a7016b8235ee3e5a50211ef2b0737034679f404

Aliases

arxiv: 1512.01406 · arxiv_version: 1512.01406v2 · doi: 10.48550/arxiv.1512.01406 · pith_short_12: 4DKDQFQDRRZ6 · pith_short_16: 4DKDQFQDRRZ6IZ3P · pith_short_8: 4DKDQFQD

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/4DKDQFQDRRZ6IZ3PJA3YU4AWXA \
  | 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: e0d43816038c73e4676f48378a7016b8235ee3e5a50211ef2b0737034679f404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b2fe10c66783d039e11907af9a35921f6916ebc4343c9333956809a1432204",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-04T13:54:53Z",
    "title_canon_sha256": "a07d16188d38eba76d70baabbf0a16bc10b2f814b30c3279ddbc70884f2e890a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01406",
    "kind": "arxiv",
    "version": 2
  }
}