Pith Number

pith:6SRWOEDS

pith:2013:6SRWOEDSIIDX4LDYA7C7RGLGQX

not attested not anchored not stored refs pending

Quantum Circuits for GCD Computation with $O(n \log n)$ Depth and O(n) Ancillae

Igor L. Markov, Mehdi Saeedi

arxiv:1304.7516 v1 · 2013-04-28 · cs.ET · 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{6SRWOEDSIIDX4LDYA7C7RGLGQX}

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	2026-05-18T03:26:53.815862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4a367107242077e2c7807c5f8996685dae248263beba8e8d9f57f0b23e37d71

Aliases

arxiv: 1304.7516 · arxiv_version: 1304.7516v1 · doi: 10.48550/arxiv.1304.7516 · pith_short_12: 6SRWOEDSIIDX · pith_short_16: 6SRWOEDSIIDX4LDY · pith_short_8: 6SRWOEDS

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/6SRWOEDSIIDX4LDYA7C7RGLGQX \
  | 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: f4a367107242077e2c7807c5f8996685dae248263beba8e8d9f57f0b23e37d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e65e1c0e749baa0fa4bcc3d97ea1ecafe0e5faae83a66cad2474f312c47d226",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.ET",
    "submitted_at": "2013-04-28T20:11:05Z",
    "title_canon_sha256": "a47802dbc6ab81dea0fd5602bd5aaca706fd7f17bcfae34c55bda2d7eae6b472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7516",
    "kind": "arxiv",
    "version": 1
  }
}