Pith Number

pith:BHJ3NIQW

pith:2015:BHJ3NIQWK7AHYIKEOVBVTYPVZZ

not attested not anchored not stored refs pending

Smooth Quantum Dynamics of Mixmaster Universe

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

arxiv:1501.02174 v1 · 2015-01-09 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHJ3NIQWK7AHYIKEOVBVTYPVZZ}

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	2026-05-18T01:33:06.527683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d3b6a21657c07c2144754359e1f5ce53780fa5927be98262359f82e1a24e00

Aliases

arxiv: 1501.02174 · arxiv_version: 1501.02174v1 · doi: 10.48550/arxiv.1501.02174 · pith_short_12: BHJ3NIQWK7AH · pith_short_16: BHJ3NIQWK7AHYIKE · pith_short_8: BHJ3NIQW

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/BHJ3NIQWK7AHYIKEOVBVTYPVZZ \
  | 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: 09d3b6a21657c07c2144754359e1f5ce53780fa5927be98262359f82e1a24e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e832263473164311c386744bceea539b2327fc1d7961359ad92e940579d82ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-01-09T15:30:50Z",
    "title_canon_sha256": "e26f99fd19c0f94667755d68870719717d6393ca3428ddbca5ded514864ac6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02174",
    "kind": "arxiv",
    "version": 1
  }
}