Pith Number

pith:W5IPSIMK

pith:2014:W5IPSIMKANFS24YC4IVIPLBNTG

not attested not anchored not stored refs pending

Real multiplication revisited

Igor Nikolaev

arxiv:1404.4999 v3 · 2014-04-20 · math.NT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5IPSIMKANFS24YC4IVIPLBNTG}

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.

Cited by

1 paper in Pith

Addendum to "Measured foliations and Hilbert 12th problem"

Receipt and verification

First computed	2026-05-18T01:10:46.092546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b750f9218a034b2d7302e22a87ac2d99a6812da45ed04547f5b59459256d357d

Aliases

arxiv: 1404.4999 · arxiv_version: 1404.4999v3 · doi: 10.48550/arxiv.1404.4999 · pith_short_12: W5IPSIMKANFS · pith_short_16: W5IPSIMKANFS24YC · pith_short_8: W5IPSIMK

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/W5IPSIMKANFS24YC4IVIPLBNTG \
  | 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: b750f9218a034b2d7302e22a87ac2d99a6812da45ed04547f5b59459256d357d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed247be4cbd553bd7c559cc2ffdf8cc95bf77c8086ac807c65c63e15eb49fdc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-20T00:31:28Z",
    "title_canon_sha256": "681d954c2dbecf0af5a0ed4a41d67e73656305fef8182c4014ed51552db3fe07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4999",
    "kind": "arxiv",
    "version": 3
  }
}