Pith Number

pith:SFCQCNPC

pith:1998:SFCQCNPCVB5ZHRR2ML2CK2DT3E

not attested not anchored not stored refs pending

A note on quantum black-box complexity of almost all Boolean functions

Andris Ambainis

arxiv:quant-ph/9811080 v1 · 1998-11-28 · 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{SFCQCNPCVB5ZHRR2ML2CK2DT3E}

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	2026-07-04T14:47:22.510740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91450135e2a87b93c63a62f4256873d915de9c522dc5de02b8af1e59e0fbd53d

Aliases

arxiv: quant-ph/9811080 · arxiv_version: quant-ph/9811080v1 · doi: 10.48550/arxiv.quant-ph/9811080 · pith_short_12: SFCQCNPCVB5Z · pith_short_16: SFCQCNPCVB5ZHRR2 · pith_short_8: SFCQCNPC

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/SFCQCNPCVB5ZHRR2ML2CK2DT3E \
  | 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: 91450135e2a87b93c63a62f4256873d915de9c522dc5de02b8af1e59e0fbd53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ebb2b17170dade2b3488d547d21ee043c38c8893e60d5a9be32e40971cf54a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-11-28T05:09:30Z",
    "title_canon_sha256": "a299e222e2ff2b902054626f10d289df90e862180a6a5d04c82cb7066e55d541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9811080",
    "kind": "arxiv",
    "version": 1
  }
}