Pith Number

pith:3OMEGTS4

pith:2026:3OMEGTS4MNK66CAFIZNCL4UEFZ

not attested not anchored not stored refs pending

Finding diagonal logical gates in CSS codes and circuits

Andreas Bauer

arxiv:2607.26477 v1 · 2026-07-29 · 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{3OMEGTS4MNK66CAFIZNCL4UEFZ}

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	2026-07-30T01:20:37.159486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

db98434e5c6355ef0805465a25f2842e4e1eb784ee5a2ddbe9f31ce689325e8f

Aliases

arxiv: 2607.26477 · arxiv_version: 2607.26477v1 · doi: 10.48550/arxiv.2607.26477 · pith_short_12: 3OMEGTS4MNK6 · pith_short_16: 3OMEGTS4MNK66CAF · pith_short_8: 3OMEGTS4

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/3OMEGTS4MNK66CAFIZNCL4UEFZ \
  | 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: db98434e5c6355ef0805465a25f2842e4e1eb784ee5a2ddbe9f31ce689325e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401aef97dd291a1494565d1e4a0a11d568a08261352b14b3edc920e367984aa0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-29T05:09:15Z",
    "title_canon_sha256": "f87447d9a8fec65b0ac8c57fa5347b73f0992fb9bd77d6223ebe19548e7b5111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26477",
    "kind": "arxiv",
    "version": 1
  }
}