Pith Number

pith:DAJ5GPAU

pith:2001:DAJ5GPAUJI4IA7EP3IVLYWSFIJ

not attested not anchored not stored refs pending

Improved Quantum Communication Complexity Bounds for Disjointness and Equality

Amsterdam), Peter Hoyer (U Calgary), Ronald de Wolf (CWI

arxiv:quant-ph/0109068 v1 · 2001-09-14 · 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{DAJ5GPAUJI4IA7EP3IVLYWSFIJ}

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	2026-05-18T00:53:35.449212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1813d33c144a38807c8fda2abc5a454248f50e41f3616f2b45c840243a444e10

Aliases

arxiv: quant-ph/0109068 · arxiv_version: quant-ph/0109068v1 · doi: 10.48550/arxiv.quant-ph/0109068 · pith_short_12: DAJ5GPAUJI4I · pith_short_16: DAJ5GPAUJI4IA7EP · pith_short_8: DAJ5GPAU

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/DAJ5GPAUJI4IA7EP3IVLYWSFIJ \
  | 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: 1813d33c144a38807c8fda2abc5a454248f50e41f3616f2b45c840243a444e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf62b0767f6fbb2cd4dee2d1c73d6d58ae99a5884c235ff95fcb0119b5d429c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-09-14T09:31:31Z",
    "title_canon_sha256": "b51624aa20ceef8322e767b5b827f605d0b5ebbb10de2e445faae84e9b0bc56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0109068",
    "kind": "arxiv",
    "version": 1
  }
}