Pith Number

pith:PGHDWO5F

pith:2015:PGHDWO5FXE4UQDKFRC2VV3RTGO

not attested not anchored not stored refs pending

Expansive actions of countable amenable groups, homoclinic pairs, and the Myhill property

Michel Coornaert, Tullio Ceccherini-Silberstein

arxiv:1508.07553 v4 · 2015-08-30 · 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{PGHDWO5FXE4UQDKFRC2VV3RTGO}

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	2026-05-18T01:04:00.100451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798e3b3ba5b939480d4588b55aee33339e6442f27e32abe61c26eaf842a79d84

Aliases

arxiv: 1508.07553 · arxiv_version: 1508.07553v4 · doi: 10.48550/arxiv.1508.07553 · pith_short_12: PGHDWO5FXE4U · pith_short_16: PGHDWO5FXE4UQDKF · pith_short_8: PGHDWO5F

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/PGHDWO5FXE4UQDKFRC2VV3RTGO \
  | 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: 798e3b3ba5b939480d4588b55aee33339e6442f27e32abe61c26eaf842a79d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27b16c5333071d09f71e5203a4240a0fa4a0e94bca8b021b1a3e7f3a911e690",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-30T10:57:32Z",
    "title_canon_sha256": "d70d7707e8628883c88daecf0adb9258f9a9dff8dfb66e9560adf2ec7367b9e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07553",
    "kind": "arxiv",
    "version": 4
  }
}