Pith Number

pith:IOBZ3XLG

pith:2008:IOBZ3XLGYVANLK5JGMBJUC6YMK

not attested not anchored not stored refs pending

On the CNOT-cost of TOFFOLI gates

Igor L. Markov, Vivek V. Shende

arxiv:0803.2316 v1 · 2008-03-15 · quant-ph · cs.ET

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOBZ3XLGYVANLK5JGMBJUC6YMK}

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	2026-05-18T04:09:46.014072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43839ddd66c540d5aba933029a0bd862bad91cc4a45db6596eb195f1c96595c5

Aliases

arxiv: 0803.2316 · arxiv_version: 0803.2316v1 · doi: 10.48550/arxiv.0803.2316 · pith_short_12: IOBZ3XLGYVAN · pith_short_16: IOBZ3XLGYVANLK5J · pith_short_8: IOBZ3XLG

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/IOBZ3XLGYVANLK5JGMBJUC6YMK \
  | 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: 43839ddd66c540d5aba933029a0bd862bad91cc4a45db6596eb195f1c96595c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b024802801d6c3130d8e39b6461d383cf8223a47e68a13c9700f0c4fdb45f909",
    "cross_cats_sorted": [
      "cs.ET"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-03-15T19:36:48Z",
    "title_canon_sha256": "9cd633c910395a67fc6360ae28a4a77836b5841b60e3cc3ea6591ebcbe674181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2316",
    "kind": "arxiv",
    "version": 1
  }
}