Pith Number

pith:BWTIUTMF

pith:2015:BWTIUTMFA7UWKENTTY7C57WJGT

not attested not anchored not stored refs pending

On a class of $(\delta+\alpha u^2)$-constacyclic codes over $\mathbb{F}_{q}[u]/\langle u^4\rangle$

Jian Gao, Yonglin Cao, Yuan Cao

arxiv:1511.02369 v1 · 2015-11-07 · 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{BWTIUTMFA7UWKENTTY7C57WJGT}

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	2026-05-18T01:27:30.492975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da68a4d8507e96511b39e3e2efec934e67ecbcf940d51b727c342cc25faf83e

Aliases

arxiv: 1511.02369 · arxiv_version: 1511.02369v1 · doi: 10.48550/arxiv.1511.02369 · pith_short_12: BWTIUTMFA7UW · pith_short_16: BWTIUTMFA7UWKENT · pith_short_8: BWTIUTMF

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/BWTIUTMFA7UWKENTTY7C57WJGT \
  | 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: 0da68a4d8507e96511b39e3e2efec934e67ecbcf940d51b727c342cc25faf83e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7be55f486375feb50d028cb2f15bb0427d5916c4534e8da83d8aebb852f7dd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-07T16:07:42Z",
    "title_canon_sha256": "1363796a32b03cda5ed261818146e238820ee2f4c40f09f2cc968ba47f9679c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02369",
    "kind": "arxiv",
    "version": 1
  }
}