Pith Number

pith:DM4PHQIQ

pith:2015:DM4PHQIQZHZ3KEN6VNP3AXSZUQ

not attested not anchored not stored refs pending

Near-optimal bounds on bounded-round quantum communication complexity of disjointness

Ankit Garg, Dave Touchette, Jieming Mao, Mark Braverman, Young Kun Ko

arxiv:1505.03110 v1 · 2015-05-12 · cs.CC · cs.IT · math.IT · 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{DM4PHQIQZHZ3KEN6VNP3AXSZUQ}

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	2026-05-18T02:14:08.959266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b38f3c110c9f3b511beab5fb05e59a40fa0feee8e0e1d3bca29bbb3b13dbcc7

Aliases

arxiv: 1505.03110 · arxiv_version: 1505.03110v1 · doi: 10.48550/arxiv.1505.03110 · pith_short_12: DM4PHQIQZHZ3 · pith_short_16: DM4PHQIQZHZ3KEN6 · pith_short_8: DM4PHQIQ

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/DM4PHQIQZHZ3KEN6VNP3AXSZUQ \
  | 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: 1b38f3c110c9f3b511beab5fb05e59a40fa0feee8e0e1d3bca29bbb3b13dbcc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c51b745d142e841fc6f0a3d161257dec542444e4cd851972198fef338bfc23",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-05-12T18:23:54Z",
    "title_canon_sha256": "0b9c6d8d36cd6f22f308fb349059a93a0092400363efc7f0693988d78518e721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03110",
    "kind": "arxiv",
    "version": 1
  }
}