Pith Number

pith:JSR3675W

pith:2018:JSR3675WXAFT76E2DGR5UNWUGF

not attested not anchored not stored refs pending

A periodicity theorem for acylindrically hyperbolic groups

Oleg Bogopolski

arxiv:1805.05941 v2 · 2018-05-15 · 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{JSR3675WXAFT76E2DGR5UNWUGF}

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	2026-05-17T23:52:07.701744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca3bf7fb6b80b3ff89a19a3da36d4315a980746bad0a7788b3c1241b94fe21a

Aliases

arxiv: 1805.05941 · arxiv_version: 1805.05941v2 · doi: 10.48550/arxiv.1805.05941 · pith_short_12: JSR3675WXAFT · pith_short_16: JSR3675WXAFT76E2 · pith_short_8: JSR3675W

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/JSR3675WXAFT76E2DGR5UNWUGF \
  | 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: 4ca3bf7fb6b80b3ff89a19a3da36d4315a980746bad0a7788b3c1241b94fe21a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d551bd79f59279468ebedca1de3add3b3f8a6fc7768371229e102d82bb0fec86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-15T17:58:23Z",
    "title_canon_sha256": "4907d5badf67a4083f402cea52e4b866d6accede8f50380e13aeffc7206fdc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05941",
    "kind": "arxiv",
    "version": 2
  }
}