Pith Number

pith:3OMU45GU

pith:2015:3OMU45GUULL6WIMBUB5UHOOQJO

not attested not anchored not stored refs pending

Fast Operations on Linearized Polynomials and their Applications in Coding Theory

Antonia Wachter-Zeh, Sven Puchinger

arxiv:1512.06520 v3 · 2015-12-21 · cs.SC · 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{3OMU45GUULL6WIMBUB5UHOOQJO}

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	2026-05-18T00:40:33.812842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db994e74d4a2d7eb2181a07b43b9d04ba0b72d0a0531d80b26e62c091db5e065

Aliases

arxiv: 1512.06520 · arxiv_version: 1512.06520v3 · doi: 10.48550/arxiv.1512.06520 · pith_short_12: 3OMU45GUULL6 · pith_short_16: 3OMU45GUULL6WIMB · pith_short_8: 3OMU45GU

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/3OMU45GUULL6WIMBUB5UHOOQJO \
  | 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: db994e74d4a2d7eb2181a07b43b9d04ba0b72d0a0531d80b26e62c091db5e065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49524b6c1f152b998bc69468d3d809a1b8422cacc01c9e98740c9ba8201abc90",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2015-12-21T08:26:14Z",
    "title_canon_sha256": "bef985a24e3363e8d7dee21b571c4625b84d2616af0fb65431d118d39a736b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06520",
    "kind": "arxiv",
    "version": 3
  }
}