Pith Number

pith:H7NVMJHW

pith:2016:H7NVMJHWIZID7GPYRYW7OE6Z5B

not attested not anchored not stored refs pending

Criteria for universality of quantum gates

Adam Sawicki, Katarzyna Karnas

arxiv:1610.00547 v6 · 2016-10-03 · quant-ph · math-ph · math.GR · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7NVMJHWIZID7GPYRYW7OE6Z5B}

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	2026-05-18T00:42:46.459097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fdb5624f646503f99f88e2df713d9e8575e16cd88edfda9609dc7bc5092c8b2

Aliases

arxiv: 1610.00547 · arxiv_version: 1610.00547v6 · doi: 10.48550/arxiv.1610.00547 · pith_short_12: H7NVMJHWIZID · pith_short_16: H7NVMJHWIZID7GPY · pith_short_8: H7NVMJHW

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/H7NVMJHWIZID7GPYRYW7OE6Z5B \
  | 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: 3fdb5624f646503f99f88e2df713d9e8575e16cd88edfda9609dc7bc5092c8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736cda8ad91727bb7c39fb76433062bfbc59f28acece029744dfbfb784f9624b",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-03T13:39:39Z",
    "title_canon_sha256": "c0cf69c3eedfd0012833bba01c5dca9e69bcf5ce7857f9b4e014042c419134b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00547",
    "kind": "arxiv",
    "version": 6
  }
}