Pith Number

pith:YC4GLHQ7

pith:2012:YC4GLHQ75WFWYGVBIKGV7F3MLI

not attested not anchored not stored refs pending

Restricted numerical shadow and geometry of quantum entanglement

Charles F. Dunkl, Jaros{\l}aw Adam Miszczak, John A. Holbrook, Karol \.Zyczkowski, Piotr Gawron, Zbigniew Pucha{\l}a

arxiv:1201.2524 v2 · 2012-01-12 · 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{YC4GLHQ75WFWYGVBIKGV7F3MLI}

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	2026-05-18T03:44:04.607944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b8659e1fed8b6c1aa1428d5f976c5a107c2d23c618dae7a56f7faf0f3eafe4

Aliases

arxiv: 1201.2524 · arxiv_version: 1201.2524v2 · doi: 10.48550/arxiv.1201.2524 · pith_short_12: YC4GLHQ75WFW · pith_short_16: YC4GLHQ75WFWYGVB · pith_short_8: YC4GLHQ7

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/YC4GLHQ75WFWYGVBIKGV7F3MLI \
  | 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: c0b8659e1fed8b6c1aa1428d5f976c5a107c2d23c618dae7a56f7faf0f3eafe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75bcf4c0a1f20894235a16d2f968dfa8e382b584a5cde4bfc3a70446d331eaf",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-01-12T10:49:35Z",
    "title_canon_sha256": "4fcee3d5821cb9162f0b82d4dfb11a7accf6e4129f9d5b7c235c7e1a709c9bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2524",
    "kind": "arxiv",
    "version": 2
  }
}