Pith Number

pith:DPGAPSPM

pith:2015:DPGAPSPMSUW57GNN4ZYINQYKHB

not attested not anchored not stored refs pending

Negacyclic codes of odd length over the ring $\mathbb{F}_p[u,v]/\langle u^2,v^2,uv-vu\rangle$

Bappaditya Ghosh

arxiv:1501.07431 v1 · 2015-01-29 · 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{DPGAPSPMSUW57GNN4ZYINQYKHB}

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	2026-05-18T02:28:21.944535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcc07c9ec952ddf99ade67086c30a38539f0843bd513cf0189458bc301c0876

Aliases

arxiv: 1501.07431 · arxiv_version: 1501.07431v1 · doi: 10.48550/arxiv.1501.07431 · pith_short_12: DPGAPSPMSUW5 · pith_short_16: DPGAPSPMSUW57GNN · pith_short_8: DPGAPSPM

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/DPGAPSPMSUW57GNN4ZYINQYKHB \
  | 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: 1bcc07c9ec952ddf99ade67086c30a38539f0843bd513cf0189458bc301c0876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2c3af54e3dab5716e33191186b1125005578f6fa23bcf3713cceda1d254d68",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-29T12:17:17Z",
    "title_canon_sha256": "345e23a1cc69e692225e88e05ca8ca761a6cbcd361e6339ca6a8ec3e37c34a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07431",
    "kind": "arxiv",
    "version": 1
  }
}