Pith Number

pith:CBUA3XSR

pith:2017:CBUA3XSRGMX3LBKTSL5FAB7OW5

not attested not anchored not stored refs pending

Spectral properties of the quantum Mixmaster universe

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

arxiv:1703.08462 v3 · 2017-03-24 · gr-qc · math-ph · math.MP · 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{CBUA3XSRGMX3LBKTSL5FAB7OW5}

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	2026-05-18T00:35:59.157241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10680dde51332fb5855392fa5007eeb746ce1e1c97ce4f3d46c29fa13da4d491

Aliases

arxiv: 1703.08462 · arxiv_version: 1703.08462v3 · doi: 10.48550/arxiv.1703.08462 · pith_short_12: CBUA3XSRGMX3 · pith_short_16: CBUA3XSRGMX3LBKT · pith_short_8: CBUA3XSR

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/CBUA3XSRGMX3LBKTSL5FAB7OW5 \
  | 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: 10680dde51332fb5855392fa5007eeb746ce1e1c97ce4f3d46c29fa13da4d491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68edd39ba25235326846bc5d9664de19ac49fdd4b6d99ff41066c5050183cc68",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-03-24T15:32:08Z",
    "title_canon_sha256": "c15522afcc0ef6d29b7a9d27085055b4201d6d1bfe1a2787255c5e362ec5119a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08462",
    "kind": "arxiv",
    "version": 3
  }
}