Pith Number

pith:NNMOJCHI

pith:2015:NNMOJCHIB7UWH6MYDATHA7PRC6

not attested not anchored not stored refs pending

Vibronic framework for quantum mixmaster universe

Ewa Czuchry, Herv\'e Bergeron, Jean-Pierre Gazeau, Przemys{\l}aw Ma{\l}kiewicz

arxiv:1512.00304 v2 · 2015-12-01 · gr-qc · 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{NNMOJCHIB7UWH6MYDATHA7PRC6}

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	2026-05-18T01:17:30.388493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b58e488e80fe963f9981826707df117b51ff89a78b3e64101471d10e0c6ceb0

Aliases

arxiv: 1512.00304 · arxiv_version: 1512.00304v2 · doi: 10.48550/arxiv.1512.00304 · pith_short_12: NNMOJCHIB7UW · pith_short_16: NNMOJCHIB7UWH6MY · pith_short_8: NNMOJCHI

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/NNMOJCHIB7UWH6MYDATHA7PRC6 \
  | 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: 6b58e488e80fe963f9981826707df117b51ff89a78b3e64101471d10e0c6ceb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060f9bde107fca3cba3ae938c32fd874c665f9b2fe0c7ad1b765ceb300c6df98",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-01T15:44:35Z",
    "title_canon_sha256": "957957b528ca8790ca1567b8c1a6e164cabadb19392e02b6ac2fb7dd59c33259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00304",
    "kind": "arxiv",
    "version": 2
  }
}