Pith Number

pith:AMYBGPMH

pith:2009:AMYBGPMHCACOVCPS4WUGKIUTR4

not attested not anchored not stored refs pending

The One-Way Communication Complexity of Group Membership

Alexander Russell, Fran\c{c}ois Le Gall, Scott Aaronson, Seiichiro Tani

arxiv:0902.3175 v2 · 2009-02-18 · cs.CC · 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{AMYBGPMHCACOVCPS4WUGKIUTR4}

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	2026-07-05T03:19:36.490711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0330133d871004ea89f2e5a86522938f2107c5ed6324b8b6ba4bce9dae87fcb4

Aliases

arxiv: 0902.3175 · arxiv_version: 0902.3175v2 · doi: 10.48550/arxiv.0902.3175 · pith_short_12: AMYBGPMHCACO · pith_short_16: AMYBGPMHCACOVCPS · pith_short_8: AMYBGPMH

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/AMYBGPMHCACOVCPS4WUGKIUTR4 \
  | 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: 0330133d871004ea89f2e5a86522938f2107c5ed6324b8b6ba4bce9dae87fcb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f05d7477ccab9cfebf491d7af67e3a94b546704a5482e7e416474232e3f8020",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-02-18T15:57:37Z",
    "title_canon_sha256": "8a70dd4ddbbf49102a0d531b425c94824f8a7e79492754a75b77d058907e5ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3175",
    "kind": "arxiv",
    "version": 2
  }
}