Pith Number

pith:MB5KXYXK

pith:2004:MB5KXYXK3WUQ4PQPVULDZNUMYW

not attested not anchored not stored refs pending

Exact quantum query complexity for total Boolean functions

Gatis Midrijanis

arxiv:quant-ph/0403168 v2 · 2004-03-23 · 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{MB5KXYXK3WUQ4PQPVULDZNUMYW}

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

Boolean degree one functions on the Grassmann scheme

Receipt and verification

First computed	2026-07-04T14:46:33.308434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607aabe2eadda90e3e0fad163cb68cc5ab234d0e54d0739fba4ac8090595b1e1

Aliases

arxiv: quant-ph/0403168 · arxiv_version: quant-ph/0403168v2 · doi: 10.48550/arxiv.quant-ph/0403168 · pith_short_12: MB5KXYXK3WUQ · pith_short_16: MB5KXYXK3WUQ4PQP · pith_short_8: MB5KXYXK

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/MB5KXYXK3WUQ4PQPVULDZNUMYW \
  | 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: 607aabe2eadda90e3e0fad163cb68cc5ab234d0e54d0739fba4ac8090595b1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5b3cadc59177c7b3745659336d02376f5cf7ca32a735481dc90122b0c67739",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-23T19:47:01Z",
    "title_canon_sha256": "1bb53cece10ec5a9534d707ac1ef23984036a4974a7a77a996b025c8c5106443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403168",
    "kind": "arxiv",
    "version": 2
  }
}