Pith Number

pith:YGCGEB52

pith:2015:YGCGEB52Z6SYWEURTQL3MLLQZZ

not attested not anchored not stored refs pending

Certainty relations, mutual entanglement and non-displacable manifolds

Karol \.Zyczkowski, Krzysztof Chabuda, {\L}ukasz Rudnicki, Miko{\l}aj Paraniak, Zbigniew Pucha{\l}a

arxiv:1506.07709 v3 · 2015-06-25 · 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{YGCGEB52Z6SYWEURTQL3MLLQZZ}

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	2026-05-18T01:33:00.051962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1846207bacfa58b12919c17b62d70ce68fff40b4352e3337da008f21c46cd36

Aliases

arxiv: 1506.07709 · arxiv_version: 1506.07709v3 · doi: 10.48550/arxiv.1506.07709 · pith_short_12: YGCGEB52Z6SY · pith_short_16: YGCGEB52Z6SYWEUR · pith_short_8: YGCGEB52

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/YGCGEB52Z6SYWEURTQL3MLLQZZ \
  | 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: c1846207bacfa58b12919c17b62d70ce68fff40b4352e3337da008f21c46cd36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c10c2eeebe3cda8c6c6538bd780ec05240096a79888e975c685d50848176bbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-06-25T11:39:27Z",
    "title_canon_sha256": "f9dd4040c50d268be3a22c59a1d8e11e52d4a2c6e4f5c1c1e47eb0618b5506fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07709",
    "kind": "arxiv",
    "version": 3
  }
}