Pith Number

pith:7PPWY4DO

pith:2018:7PPWY4DO6URC73ADVOH5WTNFP2

not attested not anchored not stored refs pending

When are group shifts of finite type?

Ville Salo

arxiv:1807.01951 v3 · 2018-07-05 · math.GR · 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{7PPWY4DO6URC73ADVOH5WTNFP2}

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

Contractible subshifts

Receipt and verification

First computed	2026-05-18T00:05:04.698447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbdf6c706ef5222fec03ab8fdb4da57e903e4c1ee0c62f1c082ae2471f712c0d

Aliases

arxiv: 1807.01951 · arxiv_version: 1807.01951v3 · doi: 10.48550/arxiv.1807.01951 · pith_short_12: 7PPWY4DO6URC · pith_short_16: 7PPWY4DO6URC73AD · pith_short_8: 7PPWY4DO

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/7PPWY4DO6URC73ADVOH5WTNFP2 \
  | 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: fbdf6c706ef5222fec03ab8fdb4da57e903e4c1ee0c62f1c082ae2471f712c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ac64d5bde9719c2565f875a410c1d2bfb873ea66a1e76db35847221710ba1e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-05T11:53:56Z",
    "title_canon_sha256": "4f1770e4bc4a4d3284e3e6f8263eb14774cb988771f61a2d99ff508197cbf44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01951",
    "kind": "arxiv",
    "version": 3
  }
}