Pith Number

pith:NOSHGRQ4

pith:2016:NOSHGRQ4QYJFPXSU3JOOJAYWML

not attested not anchored not stored refs pending

A Near-Quadratic Lower Bound for the Size of Quantum Circuits of Constant Treewidth

Mateus de Oliveira Oliveira

arxiv:1609.09643 v1 · 2016-09-30 · 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{NOSHGRQ4QYJFPXSU3JOOJAYWML}

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	2026-05-18T01:03:35.462384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba473461c861257de54da5ce4831662fb79294b248c466977ab178ddafc9484

Aliases

arxiv: 1609.09643 · arxiv_version: 1609.09643v1 · doi: 10.48550/arxiv.1609.09643 · pith_short_12: NOSHGRQ4QYJF · pith_short_16: NOSHGRQ4QYJFPXSU · pith_short_8: NOSHGRQ4

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/NOSHGRQ4QYJFPXSU3JOOJAYWML \
  | 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: 6ba473461c861257de54da5ce4831662fb79294b248c466977ab178ddafc9484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140f8ac9164f53aacbba6586a6351d1c14fabeb4918bca7d928371c45597d47c",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-09-30T09:13:12Z",
    "title_canon_sha256": "a219d7cfb1fb2f8245f84809fdc8f41db96cfb63a325304d2a25a0c020fc023a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09643",
    "kind": "arxiv",
    "version": 1
  }
}