Pith Number

pith:ZAIXIK4E

pith:2004:ZAIXIK4E33MVGI5HUCZ3HV6Q24

not attested not anchored not stored refs pending

The quantum query complexity of the hidden subgroup problem is polynomial

Emanuel Knill, Mark Ettinger, Peter Hoyer

arxiv:quant-ph/0401083 v1 · 2004-01-14 · 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{ZAIXIK4E33MVGI5HUCZ3HV6Q24}

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

Lower overhead fault-tolerant building blocks for noisy quantum computers

Receipt and verification

First computed	2026-05-18T00:53:45.900885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c811742b84ded95323a7a0b3b3d7d0d72536477cc8a40e15d1efcc8dac4de899

Aliases

arxiv: quant-ph/0401083 · arxiv_version: quant-ph/0401083v1 · doi: 10.48550/arxiv.quant-ph/0401083 · pith_short_12: ZAIXIK4E33MV · pith_short_16: ZAIXIK4E33MVGI5H · pith_short_8: ZAIXIK4E

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/ZAIXIK4E33MVGI5HUCZ3HV6Q24 \
  | 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: c811742b84ded95323a7a0b3b3d7d0d72536477cc8a40e15d1efcc8dac4de899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e93eb6a8f7525343f1999326bed5ace8cf95b24ea3929d00104b7f855cae334f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-01-14T21:26:38Z",
    "title_canon_sha256": "e9223e2e1ea891e3c04780258b9aba75df46f45635cf98aa5d1cd2fab02085da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0401083",
    "kind": "arxiv",
    "version": 1
  }
}