Pith Number

pith:THSWMG75

pith:2013:THSWMG75CJQU45WAVBALSLGXQL

not attested not anchored not stored refs pending

Global geometric difference between separable and Positive partial transpose states

Kil-Chan Ha, Seung-Hyeok Kye

arxiv:1308.0952 v1 · 2013-08-05 · quant-ph · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THSWMG75CJQU45WAVBALSLGXQL}

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	2026-05-18T02:31:36.197360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e5661bfd12614e76c0a840b92cd782ee92c8585d2074def1c626a15a14c220

Aliases

arxiv: 1308.0952 · arxiv_version: 1308.0952v1 · doi: 10.48550/arxiv.1308.0952 · pith_short_12: THSWMG75CJQU · pith_short_16: THSWMG75CJQU45WA · pith_short_8: THSWMG75

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/THSWMG75CJQU45WAVBALSLGXQL \
  | 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: 99e5661bfd12614e76c0a840b92cd782ee92c8585d2074def1c626a15a14c220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5400373ba474dfb8b1b0ca2e79b6a6175c3c69330b717119f033f62a4b0a2b93",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-05T12:11:01Z",
    "title_canon_sha256": "7a060fcf78db0b5e437f14b3cb2016d99ca4ca99095d0468cba9ef0810943174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0952",
    "kind": "arxiv",
    "version": 1
  }
}