Pith Number

pith:OM4ZBHMY

pith:2016:OM4ZBHMYOLT2Z4CKHOQ4XZOQJD

not attested not anchored not stored refs pending

Shorter gate sequences for quantum computing by mixing unitaries

Earl Campbell

arxiv:1612.02689 v3 · 2016-12-08 · 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{OM4ZBHMYOLT2Z4CKHOQ4XZOQJD}

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	2026-05-18T00:46:38.623309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7339909d9872e7acf04a3ba1cbe5d048c200546aa09561bfb658674d41dc48ec

Aliases

arxiv: 1612.02689 · arxiv_version: 1612.02689v3 · doi: 10.48550/arxiv.1612.02689 · pith_short_12: OM4ZBHMYOLT2 · pith_short_16: OM4ZBHMYOLT2Z4CK · pith_short_8: OM4ZBHMY

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/OM4ZBHMYOLT2Z4CKHOQ4XZOQJD \
  | 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: 7339909d9872e7acf04a3ba1cbe5d048c200546aa09561bfb658674d41dc48ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4892a8218faa53b320d0df4b102831eba197872e92dc5270a0f6d9bf3ab745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-08T15:14:25Z",
    "title_canon_sha256": "4d84f4c7626df627471c26a3176bbfd5ffde6b995d8b431d56ec5dae7e7e1685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02689",
    "kind": "arxiv",
    "version": 3
  }
}