Pith Number

pith:7ANOFT5E

pith:2022:7ANOFT5EX7DA6HMV3OHUCZS7DK

not attested not anchored not stored refs pending

The stabilized automorphism group of odometers and of Toeplitz subshifts

Jennifer N. Jones-Baro

arxiv:2211.07760 v2 · 2022-11-14 · 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{7ANOFT5EX7DA6HMV3OHUCZS7DK}

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	2026-07-05T07:06:01.455205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81ae2cfa4bfc60f1d95db8f41665f1a8fbbec9fdd463a3452ee151c2d9afe50

Aliases

arxiv: 2211.07760 · arxiv_version: 2211.07760v2 · doi: 10.48550/arxiv.2211.07760 · pith_short_12: 7ANOFT5EX7DA · pith_short_16: 7ANOFT5EX7DA6HMV · pith_short_8: 7ANOFT5E

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/7ANOFT5EX7DA6HMV3OHUCZS7DK \
  | 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: f81ae2cfa4bfc60f1d95db8f41665f1a8fbbec9fdd463a3452ee151c2d9afe50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ae99d8568179a64bde1b5295c8d540c35b4f03e0a5262d81e58c1fdc094554",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-11-14T21:30:20Z",
    "title_canon_sha256": "7d9a3966ad1961c0814f5fe7b8f8fc17f56bbf83899896906f0a0cec070b1b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07760",
    "kind": "arxiv",
    "version": 2
  }
}