Pith Number

pith:VGSGZUYJ

pith:2017:VGSGZUYJQ6KEYNZ7WUNCJLG366

not attested not anchored not stored refs pending

Morse geodesics in torsion groups

Elisabeth Fink

arxiv:1710.11191 v1 · 2017-10-30 · 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{VGSGZUYJQ6KEYNZ7WUNCJLG366}

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

Connections between the topology of the Morse boundary, the Morse local-to-global property and acylindrical hyperbolicity

Receipt and verification

First computed	2026-05-18T00:31:44.632466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a46cd30987944c373fb51a24acdbf7a03f02be7885dba8c707773b2c0827ad

Aliases

arxiv: 1710.11191 · arxiv_version: 1710.11191v1 · doi: 10.48550/arxiv.1710.11191 · pith_short_12: VGSGZUYJQ6KE · pith_short_16: VGSGZUYJQ6KEYNZ7 · pith_short_8: VGSGZUYJ

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/VGSGZUYJQ6KEYNZ7WUNCJLG366 \
  | 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: a9a46cd30987944c373fb51a24acdbf7a03f02be7885dba8c707773b2c0827ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d7c780efef0cb19f52153832fd5534070ec1aacd76128c0a86b107e4bb3840e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-30T18:56:23Z",
    "title_canon_sha256": "a7cf47fb7278185ea417c45dd44f85ccc263524eeb981df86c679d20f7a6adeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11191",
    "kind": "arxiv",
    "version": 1
  }
}