Pith Number

pith:3IXHPJVO

pith:2020:3IXHPJVOAFD7WGYNXANZA6FBGV

not attested not anchored not stored refs pending

Complete regularity of Ellis semigroups of $\mathbb Z$-actions

Johannes Kellendonk, Marcy Barge

arxiv:2001.02751 v2 · 2020-01-08 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IXHPJVOAFD7WGYNXANZA6FBGV}

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

The Ellis semigroup of bijective substitutions

Receipt and verification

First computed	2026-07-05T01:51:18.165713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2e77a6ae0147fb1b0db81b9078a1354e0716102aeba03a2b8c94da1014fb43

Aliases

arxiv: 2001.02751 · arxiv_version: 2001.02751v2 · doi: 10.48550/arxiv.2001.02751 · pith_short_12: 3IXHPJVOAFD7 · pith_short_16: 3IXHPJVOAFD7WGYN · pith_short_8: 3IXHPJVO

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/3IXHPJVOAFD7WGYNXANZA6FBGV \
  | 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: da2e77a6ae0147fb1b0db81b9078a1354e0716102aeba03a2b8c94da1014fb43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11255e73abf44b9f9f764a1445f61287bc364d84345a3576bcc58c2a1dabeabe",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-01-08T21:41:59Z",
    "title_canon_sha256": "f32fd1341c41bc0adb867b859616d66b1cf41c0887766bc65f1d583698bcbc0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02751",
    "kind": "arxiv",
    "version": 2
  }
}