Pith Number

pith:6O6425HP

pith:2005:6O6425HPB2GEBA6JNLUEYZQYVY

not attested not anchored not stored refs pending

Lower Bounds on Quantum Query Complexity

Peter Hoyer (U Calgary), Robert Spalek (CWI)

arxiv:quant-ph/0509153 v1 · 2005-09-21 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6O6425HPB2GEBA6JNLUEYZQYVY}

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	2026-05-18T01:59:53.840258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3bdcd74ef0e8c4083c96ae84c6618ae062607f28c4c47d4b8576262a4d0b3cc

Aliases

arxiv: quant-ph/0509153 · arxiv_version: quant-ph/0509153v1 · doi: 10.48550/arxiv.quant-ph/0509153 · pith_short_12: 6O6425HPB2GE · pith_short_16: 6O6425HPB2GEBA6J · pith_short_8: 6O6425HP

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/6O6425HPB2GEBA6JNLUEYZQYVY \
  | 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: f3bdcd74ef0e8c4083c96ae84c6618ae062607f28c4c47d4b8576262a4d0b3cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d8b64826dc22c24a60baef88e2daa0fbfbfdea6d34a682fcf2f6dd9cf4536c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-09-21T16:46:09Z",
    "title_canon_sha256": "68210b57936f032453e01f0bc14ca4546a30c725e47cecf73cd7a2ba3eb9f094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0509153",
    "kind": "arxiv",
    "version": 1
  }
}