Pith Number

pith:VYP7Z5RQ

pith:2005:VYP7Z5RQTD3H5MG4RIOVZUA2WQ

not attested not anchored not stored refs pending

A New Quantum Lower Bound Method, with Applications to Direct Product Theorems and Time-Space Tradeoffs

Andris Ambainis (U Waterloo), Robert Spalek (CWI), Ronald de Wolf (CWI)

arxiv:quant-ph/0511200 v2 · 2005-11-21 · quant-ph · 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{VYP7Z5RQTD3H5MG4RIOVZUA2WQ}

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

The Compressed Oracle is a Worthy (Multiplicative) Adversary

Receipt and verification

First computed	2026-07-04T14:51:52.065567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1ffcf63098f67eb0dc8a1d5cd01ab426f8d8d809d33ccb38d54d2112155fce

Aliases

arxiv: quant-ph/0511200 · arxiv_version: quant-ph/0511200v2 · doi: 10.48550/arxiv.quant-ph/0511200 · pith_short_12: VYP7Z5RQTD3H · pith_short_16: VYP7Z5RQTD3H5MG4 · pith_short_8: VYP7Z5RQ

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/VYP7Z5RQTD3H5MG4RIOVZUA2WQ \
  | 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: ae1ffcf63098f67eb0dc8a1d5cd01ab426f8d8d809d33ccb38d54d2112155fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c3db521fb299ce7cb21c79775fdf8fcad8c9d16a1b6f2adcd66f62556d981de",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-11-21T10:56:29Z",
    "title_canon_sha256": "e08ffeafadbb8cb307fe9c05c713e60f7c0d526892be4bacba415da9611804b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0511200",
    "kind": "arxiv",
    "version": 2
  }
}