Pith Number

pith:JMZMQWLX

pith:2012:JMZMQWLXMUIGYF2UJRPWZDTLZQ

not attested not anchored not stored refs pending

Optimality for indecomposable entanglement witnesses

Kil-Chan Ha, Seung-Hyeok Kye

arxiv:1204.6596 v1 · 2012-04-30 · 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{JMZMQWLXMUIGYF2UJRPWZDTLZQ}

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	2026-05-18T03:46:05.205633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b32c8597765106c17544c5f6c8e6bcc3a1c24feb48f0cef46d4ce3f6d388ac2

Aliases

arxiv: 1204.6596 · arxiv_version: 1204.6596v1 · doi: 10.48550/arxiv.1204.6596 · pith_short_12: JMZMQWLXMUIG · pith_short_16: JMZMQWLXMUIGYF2U · pith_short_8: JMZMQWLX

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/JMZMQWLXMUIGYF2UJRPWZDTLZQ \
  | 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: 4b32c8597765106c17544c5f6c8e6bcc3a1c24feb48f0cef46d4ce3f6d388ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1103778b87cb514881b3dcb7315950a4d1995a8b38fdfdbe51a77982f04d825c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-30T11:18:25Z",
    "title_canon_sha256": "57fb05b864767284f901b9c674889391cb10c722b789377b8c087493d7841e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6596",
    "kind": "arxiv",
    "version": 1
  }
}