pith. sign in
Pith Number

pith:2T6RWZCO

pith:2011:2T6RWZCOPCG3IOWTXDVLMDMPCC
not attested not anchored not stored refs pending

Particle with spin 1 in a magnetic field on the hyperbolic plane H_{2}

E.M. Ovsiyuk, O.V. Veko

arxiv:1110.2692 v1 · 2011-10-12 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2T6RWZCOPCG3IOWTXDVLMDMPCC}

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 2026-05-18T04:11:07.782602Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d4fd1b644e788db43ad3b8eab60d8f10baa96434257b8129b185bb432b3b7ec5

Aliases

arxiv: 1110.2692 · arxiv_version: 1110.2692v1 · doi: 10.48550/arxiv.1110.2692 · pith_short_12: 2T6RWZCOPCG3 · pith_short_16: 2T6RWZCOPCG3IOWT · pith_short_8: 2T6RWZCO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC \
  | 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: d4fd1b644e788db43ad3b8eab60d8f10baa96434257b8129b185bb432b3b7ec5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7bd0541abd5ee5d912ee2b980607f7820d0f24f9d3ab167fcf68e1b0bf2ba69d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-12T16:30:19Z",
    "title_canon_sha256": "d4cd5738ce91683bdea26db0c52a17e5ec4e7dbc509421bdfc0926eb1ea922db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2692",
    "kind": "arxiv",
    "version": 1
  }
}