Pith Number

pith:VUEJRWR2

pith:2026:VUEJRWR2QGUHKL4KQ2ARU4RBWE

not attested not anchored not stored refs pending

Necessary and Sufficient Conditions for Universal Gates with Pauli Strings and Beyond

Hans J. Briegel, Hendrik Poulsen Nautrup, Isaac D. Smith

arxiv:2606.12096 v1 · 2026-06-10 · 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{VUEJRWR2QGUHKL4KQ2ARU4RBWE}

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	2026-06-11T01:10:47.926038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad0898da3a81a8752f8a86811a7221b1188e9d2a4ab3bb70d801ea0d2f1251e7

Aliases

arxiv: 2606.12096 · arxiv_version: 2606.12096v1 · doi: 10.48550/arxiv.2606.12096 · pith_short_12: VUEJRWR2QGUH · pith_short_16: VUEJRWR2QGUHKL4K · pith_short_8: VUEJRWR2

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/VUEJRWR2QGUHKL4KQ2ARU4RBWE \
  | 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: ad0898da3a81a8752f8a86811a7221b1188e9d2a4ab3bb70d801ea0d2f1251e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2582ac7a7aeb87b55a47d9753fece8224fe9ba5bb34578f6e879ac4b3bce6774",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-10T13:54:37Z",
    "title_canon_sha256": "7297e57858d89f1fed175e811fdfeb86baee3b30b327d39800350bdeb97ab899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12096",
    "kind": "arxiv",
    "version": 1
  }
}