Pith Number

pith:DY357IC4

pith:2001:DY357IC4ZUN3WARU4E7N4KVTJK

not attested not anchored not stored refs pending

Counting, Fanout, and the Complexity of Quantum ACC

Christopher Pollett, Cristopher Moore, Frederic Green, Steven Homer

arxiv:quant-ph/0106017 v1 · 2001-06-04 · 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{DY357IC4ZUN3WARU4E7N4KVTJK}

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

Query and Depth Upper Bounds for Quantum Unitaries via Grover Search

Receipt and verification

First computed	2026-05-18T01:05:04.963942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e37dfa05ccd1bbb0234e13ede2ab34a8c41389175473ba6d5ed4be3af6b2468

Aliases

arxiv: quant-ph/0106017 · arxiv_version: quant-ph/0106017v1 · doi: 10.48550/arxiv.quant-ph/0106017 · pith_short_12: DY357IC4ZUN3 · pith_short_16: DY357IC4ZUN3WARU · pith_short_8: DY357IC4

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/DY357IC4ZUN3WARU4E7N4KVTJK \
  | 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: 1e37dfa05ccd1bbb0234e13ede2ab34a8c41389175473ba6d5ed4be3af6b2468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ecb19906a7d514312bbb0a52febf0ad8ae09828b893489a5edf1d25734332eb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-06-04T20:45:31Z",
    "title_canon_sha256": "9953460e72e6cc21dbb3dcc7a598b0a74457ebff870152359d1906b286e59890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0106017",
    "kind": "arxiv",
    "version": 1
  }
}