Pith Number

pith:4WOTVACV

pith:2019:4WOTVACV3CXZOAIX2ZLPWSYBYD

not attested not anchored not stored refs pending

Generic reductions for in-place polynomial multiplication

Bruno Grenet (ECO), Daniel Roche, Pascal Giorgi (ECO)

arxiv:1902.02967 v1 · 2019-02-08 · cs.SC · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WOTVACV3CXZOAIX2ZLPWSYBYD}

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	2026-05-17T23:54:28.719817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59d3a8055d8af970117d656fb4b01c0cf1e8f43aa055d984cd746a4c988f6dd

Aliases

arxiv: 1902.02967 · arxiv_version: 1902.02967v1 · doi: 10.48550/arxiv.1902.02967 · pith_short_12: 4WOTVACV3CXZ · pith_short_16: 4WOTVACV3CXZOAIX · pith_short_8: 4WOTVACV

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/4WOTVACV3CXZOAIX2ZLPWSYBYD \
  | 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: e59d3a8055d8af970117d656fb4b01c0cf1e8f43aa055d984cd746a4c988f6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa7aef0a6e05d774cafc36daa0e0974ac50e21a982e9bf45653b93182b53190",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2019-02-08T08:06:40Z",
    "title_canon_sha256": "3913659412ca08ecaca2b55cd376501c59d9f3dbf481f48c9b93b6824fae51e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02967",
    "kind": "arxiv",
    "version": 1
  }
}