Pith Number

pith:4EDSFWD3

pith:2003:4EDSFWD3XU2JJ4HNUKL26JSMEF

not attested not anchored not stored refs pending

Efficient Synthesis of Linear Reversible Circuits

I. L. Markov, J. P. Hayes, K. N. Patel

arxiv:quant-ph/0302002 v1 · 2003-02-03 · quant-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EDSFWD3XU2JJ4HNUKL26JSMEF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Qubit Routing for (Almost) Free

Receipt and verification

First computed	2026-05-18T02:18:24.114649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10722d87bbd3494f0eda297af264c215d4f4def50e1439052f797baca9af466

Aliases

arxiv: quant-ph/0302002 · arxiv_version: quant-ph/0302002v1 · doi: 10.48550/arxiv.quant-ph/0302002 · pith_short_12: 4EDSFWD3XU2J · pith_short_16: 4EDSFWD3XU2JJ4HN · pith_short_8: 4EDSFWD3

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/4EDSFWD3XU2JJ4HNUKL26JSMEF \
  | 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: e10722d87bbd3494f0eda297af264c215d4f4def50e1439052f797baca9af466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8740c10d24c68f2fae3b2b80e7718460a93329479ecb6212910ea60cfdc1b9bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-02-03T00:20:03Z",
    "title_canon_sha256": "caf989e79d74db17383cff14351fde972508419e4326497a17bfcb41403c7e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0302002",
    "kind": "arxiv",
    "version": 1
  }
}