Pith Number

pith:M5U53ZGK

pith:2007:M5U53ZGKARE4T52Z3L4F7S42TD

not attested not anchored not stored refs pending

Unbounded-Error Classical and Quantum Communication Complexity

Harumichi Nishimura, Kazuo Iwama, Rudy Raymond, Shigeru Yamashita

arxiv:0709.2761 v1 · 2007-09-18 · 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{M5U53ZGKARE4T52Z3L4F7S42TD}

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	2026-05-18T01:14:18.730218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6769dde4ca0449c9f759daf85fcb9a98f972e064bd68b80074a607097c20a7a0

Aliases

arxiv: 0709.2761 · arxiv_version: 0709.2761v1 · doi: 10.48550/arxiv.0709.2761 · pith_short_12: M5U53ZGKARE4 · pith_short_16: M5U53ZGKARE4T52Z · pith_short_8: M5U53ZGK

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/M5U53ZGKARE4T52Z3L4F7S42TD \
  | 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: 6769dde4ca0449c9f759daf85fcb9a98f972e064bd68b80074a607097c20a7a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01132edb361b6614221781f57ff9d377ea6db20efdc2275c63473188fe56d637",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-09-18T06:46:58Z",
    "title_canon_sha256": "38b9f24576257c8c6bdfecca9ca410e85837bcfe63a90dc6712c0bbb7e0150ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2761",
    "kind": "arxiv",
    "version": 1
  }
}