Pith Number

pith:RFKROBO4

pith:2004:RFKROBO4LAJ7X7TVSI4P5LNJ6I

not attested not anchored not stored refs pending

Quantum query complexity of some graph problems

Christoph Durr, Mark Heiligman, Mehdi Mhalla, Peter Hoyer

arxiv:quant-ph/0401091 v2 · 2004-01-15 · 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{RFKROBO4LAJ7X7TVSI4P5LNJ6I}

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

ReOC: Compilation of Recursive Quantum Oracles with Recursion-Aware Uncomputation

Receipt and verification

First computed	2026-05-18T00:53:45.894832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89551705dc5813fbfe759238feada9f2381a4e32f2d2fc5b00c3059374d857a4

Aliases

arxiv: quant-ph/0401091 · arxiv_version: quant-ph/0401091v2 · doi: 10.48550/arxiv.quant-ph/0401091 · pith_short_12: RFKROBO4LAJ7 · pith_short_16: RFKROBO4LAJ7X7TV · pith_short_8: RFKROBO4

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/RFKROBO4LAJ7X7TVSI4P5LNJ6I \
  | 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: 89551705dc5813fbfe759238feada9f2381a4e32f2d2fc5b00c3059374d857a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5537251d2af881c4a47aa2fec47baad167dffe543dca7cf6adb59f91e90df08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-01-15T20:37:14Z",
    "title_canon_sha256": "ec92b572d892cea41e8c3b8d617d040b210d847a26c215d92c54dc7cd05102ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0401091",
    "kind": "arxiv",
    "version": 2
  }
}