Pith Number

pith:CZVZESOG

pith:2026:CZVZESOGSWVJ2TZ3NIU6VJGICY

not attested not anchored not stored refs pending

Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension

Gelo Noel M. Tabia, Kai-Siang Chen, Min-Hsiu Hsieh

arxiv:2608.08836 v1 · 2026-08-09 · 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{CZVZESOGSWVJ2TZ3NIU6VJGICY}

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	2026-08-11T01:25:28.930954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166b9249c695aa9d4f3b6a29eaa4c8161d621090e4da4a696750768a5fd34261

Aliases

arxiv: 2608.08836 · arxiv_version: 2608.08836v1 · doi: 10.48550/arxiv.2608.08836 · pith_short_12: CZVZESOGSWVJ · pith_short_16: CZVZESOGSWVJ2TZ3 · pith_short_8: CZVZESOG

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/CZVZESOGSWVJ2TZ3NIU6VJGICY \
  | 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: 166b9249c695aa9d4f3b6a29eaa4c8161d621090e4da4a696750768a5fd34261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54617ca790094e3937734bb1d257cbe50296b299f371d201f2d882f1fbb24802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-09T17:50:01Z",
    "title_canon_sha256": "b2d22708df3da23c8885904e23b796d459eb85b180a5737c23fcffbc37a4854e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08836",
    "kind": "arxiv",
    "version": 1
  }
}