Pith Number

pith:DCYTM72M

pith:2026:DCYTM72MPBCDYKUQ7SUZYFVAJI

not attested not anchored not stored refs pending

Sharp Plucker Geometry for Three-Copy Werner Distillation

Qiran Zou, Tianhao Wu

arxiv:2608.02647 v1 · 2026-07-31 · 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{DCYTM72MPBCDYKUQ7SUZYFVAJI}

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

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

Receipt and verification

First computed	2026-08-05T00:38:07.216261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18b1367f4c78443c2a90fca99c16a04a02cc66ff4e3386c4b0dab3133924a3ba

Aliases

arxiv: 2608.02647 · arxiv_version: 2608.02647v1 · doi: 10.48550/arxiv.2608.02647 · pith_short_12: DCYTM72MPBCD · pith_short_16: DCYTM72MPBCDYKUQ · pith_short_8: DCYTM72M

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/DCYTM72MPBCDYKUQ7SUZYFVAJI \
  | 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: 18b1367f4c78443c2a90fca99c16a04a02cc66ff4e3386c4b0dab3133924a3ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0f83f0e11f18429da42be0379afefa6441f0c5f2a336ce9da207735d5ae6a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-31T18:01:38Z",
    "title_canon_sha256": "2f355acabb909d7bd0960922595bf61a3b498293094da981a1c6f04ceb0e8207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02647",
    "kind": "arxiv",
    "version": 1
  }
}