Pith Number

pith:AY752BEB

pith:2009:AY752BEB5UC5RHH7A55YTDFLIB

not attested not anchored not stored refs pending

Average/Worst-Case Gap of Quantum Query Complexities by On-Set Size

Andris Ambainis, Harumichi Nishimura, Kazuo Iwama, Masaki Nakanishi, Rudy Raymond, Seiichiro Tani, Shigeru Yamashita

arxiv:0908.2468 v1 · 2009-08-18 · 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{AY752BEB5UC5RHH7A55YTDFLIB}

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	2026-07-05T01:12:15.883870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

063fdd0481ed05d89cff077b898cab4071320499446e1e28b859f0079e82398b

Aliases

arxiv: 0908.2468 · arxiv_version: 0908.2468v1 · doi: 10.48550/arxiv.0908.2468 · pith_short_12: AY752BEB5UC5 · pith_short_16: AY752BEB5UC5RHH7 · pith_short_8: AY752BEB

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/AY752BEB5UC5RHH7A55YTDFLIB \
  | 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: 063fdd0481ed05d89cff077b898cab4071320499446e1e28b859f0079e82398b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d99946d3cfd4b7f7d0523004317f52a4f5574a6b8db6a801b3ad51bc7328176",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-08-18T00:13:44Z",
    "title_canon_sha256": "88b687a948ca0970f826316b2b4a4e598410ebcf07f70660e0a631d3ff28fdc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2468",
    "kind": "arxiv",
    "version": 1
  }
}