Pith Number

pith:KCVAP4YS

pith:2013:KCVAP4YSUAI6UCNJ5J36BAPOM6

not attested not anchored not stored refs pending

The absolute continuous spectrum of skew products of compact Lie groups

Rafael Tiedra de Aldecoa

arxiv:1307.7348 v1 · 2013-07-28 · math.SP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCVAP4YSUAI6UCNJ5J36BAPOM6}

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	2026-05-18T03:17:23.506438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50aa07f312a011ea09a9ea77e081ee67adbaf440131fd3f2406e3bb68bd6d853

Aliases

arxiv: 1307.7348 · arxiv_version: 1307.7348v1 · doi: 10.48550/arxiv.1307.7348 · pith_short_12: KCVAP4YSUAI6 · pith_short_16: KCVAP4YSUAI6UCNJ · pith_short_8: KCVAP4YS

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/KCVAP4YSUAI6UCNJ5J36BAPOM6 \
  | 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: 50aa07f312a011ea09a9ea77e081ee67adbaf440131fd3f2406e3bb68bd6d853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99badad12bb2737445a81296ade9926969fe644cca1f22658c7453ed87206674",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-28T10:33:15Z",
    "title_canon_sha256": "97c2c352f8c8e566eb90c7089b0dfb6e3fb291f43ae9baf6fd3a1a8d1f108583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7348",
    "kind": "arxiv",
    "version": 1
  }
}