Pith Number

pith:X2IGT4JG

pith:2012:X2IGT4JGAVUT3WK2ZYMVQII24P

not attested not anchored not stored refs pending

The structural physical approximations and optimal entanglement witnesses

Kil-Chan Ha, Seung-Hyeok Kye

arxiv:1205.3356 v2 · 2012-05-15 · 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{X2IGT4JGAVUT3WK2ZYMVQII24P}

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	2026-05-18T01:57:32.023913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9069f12605693dd95ace1958211ae3fa65bec75a4dc6e3d3f24912028892fd

Aliases

arxiv: 1205.3356 · arxiv_version: 1205.3356v2 · doi: 10.48550/arxiv.1205.3356 · pith_short_12: X2IGT4JGAVUT · pith_short_16: X2IGT4JGAVUT3WK2 · pith_short_8: X2IGT4JG

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/X2IGT4JGAVUT3WK2ZYMVQII24P \
  | 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: be9069f12605693dd95ace1958211ae3fa65bec75a4dc6e3d3f24912028892fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "052f9462da2bd8746b1dd6564c972112f04b633ca5cb5d0828d14d685c149a0c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-15T12:59:27Z",
    "title_canon_sha256": "15eca0d21a97f081519fc58357cc01e473c89c8df71344f9da4aae11f50ab2a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3356",
    "kind": "arxiv",
    "version": 2
  }
}