Pith Number

pith:XWF5OF6W

pith:2011:XWF5OF6W7J546ULLNVTX3GH6VU

not attested not anchored not stored refs pending

On group actions with simple Lebesgue spectrum

A. A. Prikhod'Ko

arxiv:1111.0230 v1 · 2011-11-01 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWF5OF6W7J546ULLNVTX3GH6VU}

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	2026-05-18T04:09:46.155329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8bd717d6fa7bcf516b6d677d98fead161d11b35fc601cb65d30868da3924a0

Aliases

arxiv: 1111.0230 · arxiv_version: 1111.0230v1 · doi: 10.48550/arxiv.1111.0230 · pith_short_12: XWF5OF6W7J54 · pith_short_16: XWF5OF6W7J546ULL · pith_short_8: XWF5OF6W

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/XWF5OF6W7J546ULLNVTX3GH6VU \
  | 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: bd8bd717d6fa7bcf516b6d677d98fead161d11b35fc601cb65d30868da3924a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d0e0f7b968cea16bcdd3f8d5b69780560c16fac8f2f2c8e9a8850e2a1028a5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-01T16:06:20Z",
    "title_canon_sha256": "0faa21c340241f8ba926c3627642e4691e3157d137da3119b26e2ee8a2e432dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0230",
    "kind": "arxiv",
    "version": 1
  }
}