Pith Number

pith:GE625KDD

pith:2026:GE625KDDFD6A3S2DPODVT67I52

not attested not anchored not stored refs pending

Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case

Junhyeong An, Soojoon Lee

arxiv:2607.15947 v1 · 2026-07-17 · 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{GE625KDDFD6A3S2DPODVT67I52}

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.

Cited by

1 paper in Pith

Every PPT channel has finite entanglement-breaking index

Receipt and verification

First computed	2026-07-20T01:19:19.374055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313daea86328fc0dcb437b8759fbe8ee86d7a4e445316e4dd04b506d1bda0e84

Aliases

arxiv: 2607.15947 · arxiv_version: 2607.15947v1 · doi: 10.48550/arxiv.2607.15947 · pith_short_12: GE625KDDFD6A · pith_short_16: GE625KDDFD6A3S2D · pith_short_8: GE625KDD

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/GE625KDDFD6A3S2DPODVT67I52 \
  | 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: 313daea86328fc0dcb437b8759fbe8ee86d7a4e445316e4dd04b506d1bda0e84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dbba42468d35e1b676b57a5e744cdea1efc3120bbaa129cb0a53cbb97bfaf12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-17T13:32:14Z",
    "title_canon_sha256": "1d034ddda2d25ccbcd0395e29ff6ffa4409f7894364c09304669d71abc5f6c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15947",
    "kind": "arxiv",
    "version": 1
  }
}