Pith Number

pith:7EYKGYQJ

pith:2020:7EYKGYQJFT3QZGMWYQJCEQ5PRE

not attested not anchored not stored refs pending

Cusped spaces and quasi-isometries of relatively hyperbolic groups

Brendan Burns Healy, G. Christopher Hruska

arxiv:2010.09876 v3 · 2020-10-19 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EYKGYQJFT3QZGMWYQJCEQ5PRE}

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

Hyperbolic spaces with geometric and geometrically finite quasi-actions are symmetric

Receipt and verification

First computed	2026-07-05T02:20:57.592386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f930a362092cf70c9996c4122243af8925897b3d58f6ba788048f6431ed3bfc1

Aliases

arxiv: 2010.09876 · arxiv_version: 2010.09876v3 · doi: 10.48550/arxiv.2010.09876 · pith_short_12: 7EYKGYQJFT3Q · pith_short_16: 7EYKGYQJFT3QZGMW · pith_short_8: 7EYKGYQJ

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/7EYKGYQJFT3QZGMWYQJCEQ5PRE \
  | 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: f930a362092cf70c9996c4122243af8925897b3d58f6ba788048f6431ed3bfc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71c65c7f93e6365fe4ab9f9c762e31ac63a6b02dd812478201d1bc5ada38692",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-10-19T21:26:22Z",
    "title_canon_sha256": "11c86f9ab4ee8e4860c7bef2403745255f3b4395c3280413067f3876dd89544a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09876",
    "kind": "arxiv",
    "version": 3
  }
}