Pith Number

pith:CRNXH2PZ

pith:2012:CRNXH2PZS4KWYRW7ILSYOWLTOM

not attested not anchored not stored refs pending

Optimal quantum query bounds for almost all Boolean functions

Andris Ambainis (U of Latvia), Arturs Backurs (U of Latvia), Juris Smotrovs (U of Latvia), Ronald de Wolf (CWI, U of Amsterdam)

arxiv:1208.1122 v1 · 2012-08-06 · 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{CRNXH2PZS4KWYRW7ILSYOWLTOM}

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	2026-05-18T03:49:20.539367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145b73e9f997156c46df42e5875973731fcec81d7b353c68d97fa8f39ac0fb58

Aliases

arxiv: 1208.1122 · arxiv_version: 1208.1122v1 · doi: 10.48550/arxiv.1208.1122 · pith_short_12: CRNXH2PZS4KW · pith_short_16: CRNXH2PZS4KWYRW7 · pith_short_8: CRNXH2PZ

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/CRNXH2PZS4KWYRW7ILSYOWLTOM \
  | 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: 145b73e9f997156c46df42e5875973731fcec81d7b353c68d97fa8f39ac0fb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402be54aaeb6d3f7b4b502ee8836ba6df9b928fe89054cefc247d498d9a5d276",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-06T09:20:22Z",
    "title_canon_sha256": "ae59875a39fce83b86ebd57d7619c670023e0cd8c04db33ec2ee1379ad9b1ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1122",
    "kind": "arxiv",
    "version": 1
  }
}