Pith Number

pith:O7PXHSYR

pith:2026:O7PXHSYRISQNNTALTASP3X63E3

not attested not anchored not stored refs pending

Exact Incompatibility-Breaking Criterion for Unital Qubit Channels

Yujie Zhang

arxiv:2607.27757 v1 · 2026-07-30 · 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{O7PXHSYRISQNNTALTASP3X63E3}

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	2026-07-31T01:30:29.520493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

77df73cb1144a0d6cc0b9824fddfdb26d5f29fea8c1f0bdebb0312789d3a49b1

Aliases

arxiv: 2607.27757 · arxiv_version: 2607.27757v1 · doi: 10.48550/arxiv.2607.27757 · pith_short_12: O7PXHSYRISQN · pith_short_16: O7PXHSYRISQNNTAL · pith_short_8: O7PXHSYR

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/O7PXHSYRISQNNTALTASP3X63E3 \
  | 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: 77df73cb1144a0d6cc0b9824fddfdb26d5f29fea8c1f0bdebb0312789d3a49b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8429029702f8470c4e58fc2a8ea3e638ff730a662653b5e2c02441b1878b3929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-30T06:55:37Z",
    "title_canon_sha256": "5092fd4d0a2fe0e3f503f67ecae28d72c82b71510edaa597e569b265dccc130d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27757",
    "kind": "arxiv",
    "version": 1
  }
}