Pith Number

pith:VB33ISRH

pith:2026:VB33ISRHAA4RTGRHQSPJGKELL3

not attested not anchored not stored refs pending

A partial-trace matrix inequality and Werner-state distillability

Lin Chen, Zhiwei Song

arxiv:2607.23416 v1 · 2026-07-26 · 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{VB33ISRHAA4RTGRHQSPJGKELL3}

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	2026-07-28T01:22:51.943756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a877b44a270039199a27849e93288b5ef7a4c5ef074ff3d47e79ab37c9e18963

Aliases

arxiv: 2607.23416 · arxiv_version: 2607.23416v1 · doi: 10.48550/arxiv.2607.23416 · pith_short_12: VB33ISRHAA4R · pith_short_16: VB33ISRHAA4RTGRH · pith_short_8: VB33ISRH

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/VB33ISRHAA4RTGRHQSPJGKELL3 \
  | 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: a877b44a270039199a27849e93288b5ef7a4c5ef074ff3d47e79ab37c9e18963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793a2466615ce369bd259831d1094fe74e0f979e78129f09f7c535df6ec1bd47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-26T02:22:05Z",
    "title_canon_sha256": "1adaacc650cfbeca5466b7599d6ec64da0a87a3ab215c822cc0e26270508a863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23416",
    "kind": "arxiv",
    "version": 1
  }
}