Pith Number

pith:GVVEZKCW

pith:2016:GVVEZKCWB5MHVAAYQOAGKQJM5D

not attested not anchored not stored refs pending

From local to global conjugacy of subgroups of relatively hyperbolic groups

Kai-Uwe Bux, Oleg Bogopolski

arxiv:1605.01795 v2 · 2016-05-06 · 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{GVVEZKCWB5MHVAAYQOAGKQJM5D}

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	2026-05-18T01:04:32.823145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356a4ca8560f587a8018838065412ce8cd036ea8d569e7db985d9b6023765c9f

Aliases

arxiv: 1605.01795 · arxiv_version: 1605.01795v2 · doi: 10.48550/arxiv.1605.01795 · pith_short_12: GVVEZKCWB5MH · pith_short_16: GVVEZKCWB5MHVAAY · pith_short_8: GVVEZKCW

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/GVVEZKCWB5MHVAAYQOAGKQJM5D \
  | 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: 356a4ca8560f587a8018838065412ce8cd036ea8d569e7db985d9b6023765c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "627820a69e115614818b38b73e186d174c9e45daae980415a4437fcf7756344b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-06T00:10:01Z",
    "title_canon_sha256": "67a6dbfa6e5617ec7ec596bef6399962b21bad78b0470356cb7d8eb1b4b6712f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01795",
    "kind": "arxiv",
    "version": 2
  }
}