Pith Number

pith:QHAKUTBI

pith:2001:QHAKUTBIM6XIFJ6I3MG4QTZBVQ

not attested not anchored not stored refs pending

Quantum Communication Complexity (A Survey)

Gilles Brassard

arxiv:quant-ph/0101005 v1 · 2001-01-01 · 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{QHAKUTBIM6XIFJ6I3MG4QTZBVQ}

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

An Operational Framework for Nonclassicality in Quantum Communication Networks

Receipt and verification

First computed	2026-07-04T14:45:34.566722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c0aa4c2867ae82a7c8db0dc84f21ac3d9933be1c5c47ab9ed72cf815b83d8e

Aliases

arxiv: quant-ph/0101005 · arxiv_version: quant-ph/0101005v1 · doi: 10.48550/arxiv.quant-ph/0101005 · pith_short_12: QHAKUTBIM6XI · pith_short_16: QHAKUTBIM6XIFJ6I · pith_short_8: QHAKUTBI

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/QHAKUTBIM6XIFJ6I3MG4QTZBVQ \
  | 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: 81c0aa4c2867ae82a7c8db0dc84f21ac3d9933be1c5c47ab9ed72cf815b83d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ca08ffc91be67e70dbcc625bf51efac3e33de4c45f28fd724f8d4a7c35ea1d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-01-01T07:12:35Z",
    "title_canon_sha256": "f7ffcea6683d09f397564d61d4dcaf50acd1857e58b65c4aa7676da7463f8854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0101005",
    "kind": "arxiv",
    "version": 1
  }
}