Pith Number

pith:LAJGA2DS

pith:2019:LAJGA2DS2XHMI4RAZF4E6PWQZG

not attested not anchored not stored refs pending

The Discussion on Hulls of Cyclic Codes over the Ring $\Re =\Z_4+v\Z_4$, $v^2=v$

Abhay Kumar Singh, Narendra Kumar

arxiv:1904.03600 v1 · 2019-04-07 · 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{LAJGA2DS2XHMI4RAZF4E6PWQZG}

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	2026-05-17T23:49:12.832074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5812606872d5cec47220c9784f3ed0c9bf1d1abcde4612cc79f9a1e08ac33b73

Aliases

arxiv: 1904.03600 · arxiv_version: 1904.03600v1 · doi: 10.48550/arxiv.1904.03600 · pith_short_12: LAJGA2DS2XHM · pith_short_16: LAJGA2DS2XHMI4RA · pith_short_8: LAJGA2DS

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/LAJGA2DS2XHMI4RAZF4E6PWQZG \
  | 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: 5812606872d5cec47220c9784f3ed0c9bf1d1abcde4612cc79f9a1e08ac33b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94cb639cd431634ead41909ff202baa489cf319efd3ba0271f8eb939265c4009",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-04-07T07:47:59Z",
    "title_canon_sha256": "16ce0637ed231ddf67fb3e3dad1e697e17e69e46c10a08c6fb57e3eb00a3a11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03600",
    "kind": "arxiv",
    "version": 1
  }
}