Pith Number

pith:5DZCCZDO

pith:2019:5DZCCZDOU5IHSBCCQC6Y3SFRIN

not attested not anchored not stored refs pending

Algorithms detecting stability and Morseness for finitely generated groups

Heejoung Kim

arxiv:1908.04460 v1 · 2019-08-13 · 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{5DZCCZDOU5IHSBCCQC6Y3SFRIN}

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

On the generalized membership problem in relatively hyperbolic groups

Receipt and verification

First computed	2026-07-05T00:55:58.409857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f221646ea75079044280bd8dc8b14374309a10f9fcd8b13c7967b7d8c60f99

Aliases

arxiv: 1908.04460 · arxiv_version: 1908.04460v1 · doi: 10.48550/arxiv.1908.04460 · pith_short_12: 5DZCCZDOU5IH · pith_short_16: 5DZCCZDOU5IHSBCC · pith_short_8: 5DZCCZDO

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/5DZCCZDOU5IHSBCCQC6Y3SFRIN \
  | 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: e8f221646ea75079044280bd8dc8b14374309a10f9fcd8b13c7967b7d8c60f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcfb239cd91441984b9cfae06d6223f78e7c44ceff03afe4c10afca0fca346f2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-13T02:08:46Z",
    "title_canon_sha256": "2a35df683f6458fa80abe5a8d12d6d9024f6c4d9c9a87790951abe52be802ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04460",
    "kind": "arxiv",
    "version": 1
  }
}