Pith Number

pith:7RP7ZTPY

pith:2012:7RP7ZTPY3FNNAFK4BWENOUQVDM

not attested not anchored not stored refs pending

Exponential Lower Bounds and Separation for Query Rewriting

Michael Zakharyaschev, Roman Kontchakov, Stanislav Kikot, Vladimir Podolskii

arxiv:1202.4193 v4 · 2012-02-19 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RP7ZTPY3FNNAFK4BWENOUQVDM}

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	2026-05-18T03:55:46.466245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5ffccdf8d95ad0155c0d88d752151b149db78e9ba36da0145df76b5def2923

Aliases

arxiv: 1202.4193 · arxiv_version: 1202.4193v4 · doi: 10.48550/arxiv.1202.4193 · pith_short_12: 7RP7ZTPY3FNN · pith_short_16: 7RP7ZTPY3FNNAFK4 · pith_short_8: 7RP7ZTPY

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/7RP7ZTPY3FNNAFK4BWENOUQVDM \
  | 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: fc5ffccdf8d95ad0155c0d88d752151b149db78e9ba36da0145df76b5def2923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfce921cf3deb0bad0584c8fc2ac2ad98860c8aa5f6d5d3980073b707b06c493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-02-19T22:28:54Z",
    "title_canon_sha256": "e428030621867dbdb876c1aaf301d3069d92cad836e13af062323a39cfb47dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4193",
    "kind": "arxiv",
    "version": 4
  }
}