Pith Number

pith:DMBQL3G4

pith:2006:DMBQL3G4QC7KJON2FMNS3W3INY

not attested not anchored not stored refs pending

On Learning Thresholds of Parities and Unions of Rectangles in Random Walk Models

S. Roch

arxiv:cs/0605048 v1 · 2006-05-11 · cs.LG · cs.CC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMBQL3G4QC7KJON2FMNS3W3INY}

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	2026-05-18T04:14:05.028584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b0305ecdc80bea4b9ba2b1b2ddb686e138f72915ead499fd41e06cffecc805d

Aliases

arxiv: cs/0605048 · arxiv_version: cs/0605048v1 · doi: 10.48550/arxiv.cs/0605048 · pith_short_12: DMBQL3G4QC7K · pith_short_16: DMBQL3G4QC7KJON2 · pith_short_8: DMBQL3G4

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/DMBQL3G4QC7KJON2FMNS3W3INY \
  | 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: 1b0305ecdc80bea4b9ba2b1b2ddb686e138f72915ead499fd41e06cffecc805d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78289c83a1dc5604e6c8788dee69d8e7a51bbeeff849c490de42c15ad446a145",
    "cross_cats_sorted": [
      "cs.CC",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cs.LG",
    "submitted_at": "2006-05-11T03:27:12Z",
    "title_canon_sha256": "1eb1da894429760b592098e5d37f9ba29117511a7c0878105726ee26cf0146e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0605048",
    "kind": "arxiv",
    "version": 1
  }
}