Pith Number

pith:WDUMYRT4

pith:2011:WDUMYRT4PDV4RRJK5MISJP7D3M

not attested not anchored not stored refs pending

Tight Cell-Probe Bounds for Online Integer Multiplication and Convolution

Markus Jalsenius, Raphael Clifford

arxiv:1101.0768 v4 · 2011-01-04 · cs.DS · 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{WDUMYRT4PDV4RRJK5MISJP7D3M}

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	2026-05-18T04:01:38.136655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e8cc467c78ebc8c52aeb1124bfe3db2817d5b9b9e84322d9a1c4144aa26b61

Aliases

arxiv: 1101.0768 · arxiv_version: 1101.0768v4 · doi: 10.48550/arxiv.1101.0768 · pith_short_12: WDUMYRT4PDV4 · pith_short_16: WDUMYRT4PDV4RRJK · pith_short_8: WDUMYRT4

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/WDUMYRT4PDV4RRJK5MISJP7D3M \
  | 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: b0e8cc467c78ebc8c52aeb1124bfe3db2817d5b9b9e84322d9a1c4144aa26b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cdef1a512b01f736819cec569b6651ad3288645fd7589319af5824615f5438",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-01-04T17:08:23Z",
    "title_canon_sha256": "334d2b6b662100c123124a9adb2b53f6d27bb0b60a8fd839730c1a4a2aeb35c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0768",
    "kind": "arxiv",
    "version": 4
  }
}