pith. sign in
Pith Number

pith:A2XTNSTQ

pith:2011:A2XTNSTQJFWMDGFWDY6MX2J3I6
not attested not anchored not stored refs pending

Stochastic theory of quantum vortex on a sphere

Hiroshi KURATSUJI

arxiv:1109.0123 v1 · 2011-09-01 · cond-mat.stat-mech · cond-mat.mes-hall · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A2XTNSTQJFWMDGFWDY6MX2J3I6}

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 2026-05-18T02:00:43.484895Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

06af36ca70496cc198b61e3ccbe93b47b07de08f1b906cb39bc223e492b8097f

Aliases

arxiv: 1109.0123 · arxiv_version: 1109.0123v1 · doi: 10.48550/arxiv.1109.0123 · pith_short_12: A2XTNSTQJFWM · pith_short_16: A2XTNSTQJFWMDGFW · pith_short_8: A2XTNSTQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A2XTNSTQJFWMDGFWDY6MX2J3I6 \
  | 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: 06af36ca70496cc198b61e3ccbe93b47b07de08f1b906cb39bc223e492b8097f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5152bba617fca08b442bf648b4518cf557355a5b066eddd392e6ecde73a36a1c",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-01T08:29:52Z",
    "title_canon_sha256": "402189fed5d25309744e8f7ced88b1a7eeeebbcd02c09057c852186a4b109fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0123",
    "kind": "arxiv",
    "version": 1
  }
}