Pith Number

pith:WCCY22XY

pith:2011:WCCY22XY6BTVWPJ3X5HDKARG67

not attested not anchored not stored refs pending

The group of invariants of an inner function with finite spectrum

Isabelle Chalendar, Jonathan R. Partington, Pamela Gorkin

arxiv:1103.5915 v1 · 2011-03-30 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCCY22XY6BTVWPJ3X5HDKARG67}

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	2026-05-18T04:25:27.206328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0858d6af8f0675b3d3bbf4e350226f7d3078f8837d39c7e8e51dbbb44103ac7

Aliases

arxiv: 1103.5915 · arxiv_version: 1103.5915v1 · doi: 10.48550/arxiv.1103.5915 · pith_short_12: WCCY22XY6BTV · pith_short_16: WCCY22XY6BTVWPJ3 · pith_short_8: WCCY22XY

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/WCCY22XY6BTVWPJ3X5HDKARG67 \
  | 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: b0858d6af8f0675b3d3bbf4e350226f7d3078f8837d39c7e8e51dbbb44103ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d84060367d5b29fcfababa63ed1ce92f9b1b75548d7c9ee85c4b91f13f3db5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-03-30T13:12:16Z",
    "title_canon_sha256": "30229a8a7d5a7a9c8fbb5eaa8f928debaa8b30fbbd709773f1907dfef7ec9a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5915",
    "kind": "arxiv",
    "version": 1
  }
}