Pith Number

pith:UZWUTLJH

pith:2002:UZWUTLJHXCR5PVUQZFUEOHUWUP

not attested not anchored not stored refs pending

A lower bound on the quantum query complexity of read-once functions

Howard Barnum, Michael Saks

arxiv:quant-ph/0201007 v1 · 2002-01-03 · 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{UZWUTLJHXCR5PVUQZFUEOHUWUP}

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

The Compressed Oracle is a Worthy (Multiplicative) Adversary

Receipt and verification

First computed	2026-07-04T14:45:52.353849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66d49ad27b8a3d7d690c968471e96a3d908f42420a67c62b10281309f37c78a

Aliases

arxiv: quant-ph/0201007 · arxiv_version: quant-ph/0201007v1 · doi: 10.48550/arxiv.quant-ph/0201007 · pith_short_12: UZWUTLJHXCR5 · pith_short_16: UZWUTLJHXCR5PVUQ · pith_short_8: UZWUTLJH

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/UZWUTLJHXCR5PVUQZFUEOHUWUP \
  | 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: a66d49ad27b8a3d7d690c968471e96a3d908f42420a67c62b10281309f37c78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70c392190bf5572f98f3b0db4caa34d4cbb4e789707ab6dede1f86ac1b49ddc",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-01-03T19:19:09Z",
    "title_canon_sha256": "257872d2da3328186b05658689865bbe91d5e25665657b488757a7c9246f8f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0201007",
    "kind": "arxiv",
    "version": 1
  }
}