Pith Number

pith:ECM3QB5S

pith:2017:ECM3QB5S33R4TUOEYHHHUMJVUQ

not attested not anchored not stored refs pending

Strongly aperiodic subshifts of finite type on hyperbolic groups

Chaim Goodman-Strauss, David Bruce Cohen, Yo'av Rieck

arxiv:1706.01387 v2 · 2017-06-05 · 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{ECM3QB5S33R4TUOEYHHHUMJVUQ}

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	2026-05-18T00:42:50.908872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2099b807b2dee3c9d1c4c1ce7a3135a422d994cd8f6eda83c072ccd969780f62

Aliases

arxiv: 1706.01387 · arxiv_version: 1706.01387v2 · doi: 10.48550/arxiv.1706.01387 · pith_short_12: ECM3QB5S33R4 · pith_short_16: ECM3QB5S33R4TUOE · pith_short_8: ECM3QB5S

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/ECM3QB5S33R4TUOEYHHHUMJVUQ \
  | 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: 2099b807b2dee3c9d1c4c1ce7a3135a422d994cd8f6eda83c072ccd969780f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3356e6efa63d0d672e97f34154b8a8235ce2261cb7f7ffc854717854de750266",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-05T15:59:31Z",
    "title_canon_sha256": "fd12390d8897314eb017bf01e22b8383037e9c49c920e78e9ee555e440c46a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01387",
    "kind": "arxiv",
    "version": 2
  }
}