Pith Number

pith:C3PQPGFL

pith:2004:C3PQPGFL6XPCNWHH7EXN4CEUAZ

not attested not anchored not stored refs pending

Lower bounds on the Deterministic and Quantum Communication Complexity of Hamming Distance

Andrey Utis, Andris Ambainis, Aravind Srinavasan, William Gasarch

arxiv:cs/0411076 v2 · 2004-11-20 · 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{C3PQPGFL6XPCNWHH7EXN4CEUAZ}

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	2026-05-18T02:29:37.203494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16df0798abf5de26d8e7f92ede08940663206f118fc17629b15a3e07ed9c488c

Aliases

arxiv: cs/0411076 · arxiv_version: cs/0411076v2 · doi: 10.48550/arxiv.cs/0411076 · pith_short_12: C3PQPGFL6XPC · pith_short_16: C3PQPGFL6XPCNWHH · pith_short_8: C3PQPGFL

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/C3PQPGFL6XPCNWHH7EXN4CEUAZ \
  | 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: 16df0798abf5de26d8e7f92ede08940663206f118fc17629b15a3e07ed9c488c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2521a79e1628e9c707463913af7313bf2b5c737be6b5140e866d2518d4c2ecbd",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2004-11-20T19:55:19Z",
    "title_canon_sha256": "de8a1fe868953f30a5f8a096e7628d4014c8d241f3183a3300f672ab0d11f1ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0411076",
    "kind": "arxiv",
    "version": 2
  }
}