Pith Number

pith:LSESODN5

pith:2010:LSESODN5LX6LJNT6U72NLWQ7AE

not attested not anchored not stored refs pending

A Rigorous Extension of the Sch\"onhage-Strassen Integer Multiplication Algorithm Using Complex Interval Arithmetic

Raazesh Sainudiin, Thomas Steinke

arxiv:1006.0405 v1 · 2010-06-02 · cs.NA · cs.CR · cs.DS · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSESODN5LX6LJNT6U72NLWQ7AE}

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	2026-06-03T23:06:38.045858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c89270dbd5dfcb4b67ea7f4d5da1f0129b24258a08134f64a543b4955149dd9

Aliases

arxiv: 1006.0405 · arxiv_version: 1006.0405v1 · doi: 10.48550/arxiv.1006.0405 · pith_short_12: LSESODN5LX6L · pith_short_16: LSESODN5LX6LJNT6 · pith_short_8: LSESODN5

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/LSESODN5LX6LJNT6U72NLWQ7AE \
  | 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: 5c89270dbd5dfcb4b67ea7f4d5da1f0129b24258a08134f64a543b4955149dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4f52607959c0e4b903559014f07e0cd6235918a657c06c1d19b55b453d8cd1",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.DS",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2010-06-02T14:31:02Z",
    "title_canon_sha256": "b5a42ded87b4078defb64aaa79ce540317d1a349a1a6bb385c5c6486c8630298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0405",
    "kind": "arxiv",
    "version": 1
  }
}