Pith Number

pith:R4O45GRU

pith:2024:R4O45GRUPGGZGZP35JBOQ2B2K5

not attested not anchored not stored refs pending

Key subgroups in the Polish group of all automorphisms of the rational circle

Michael Megrelishvili

arxiv:2410.17905 v3 · 2024-10-23 · math.DS · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4O45GRUPGGZGZP35JBOQ2B2K5}

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.

Cited by

1 paper in Pith

Circular orders: topology and continuous actions

Receipt and verification

First computed	2026-05-29T02:05:33.625389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1dce9a34798d9365fbea42e8683a5752c5184a6cc74f8ddd5265e996115d5d

Aliases

arxiv: 2410.17905 · arxiv_version: 2410.17905v3 · doi: 10.48550/arxiv.2410.17905 · pith_short_12: R4O45GRUPGGZ · pith_short_16: R4O45GRUPGGZGZP3 · pith_short_8: R4O45GRU

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/R4O45GRUPGGZGZP35JBOQ2B2K5 \
  | 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: 8f1dce9a34798d9365fbea42e8683a5752c5184a6cc74f8ddd5265e996115d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3286f1d509156f8ba6ed63f346a2626ae5afb603e0ac3d3b71db015c760d24c5",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-10-23T14:25:56Z",
    "title_canon_sha256": "74e58c9713bb90b99f3b0ed4af597f803471384a364bf9f914bdee760c244960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17905",
    "kind": "arxiv",
    "version": 3
  }
}