Pith Number

pith:5E5IGYQS

pith:2009:5E5IGYQSEGW5P2M2XB3V6722IH

not attested not anchored not stored refs pending

Conjugacy in normal subgroups of hyperbolic groups

Armando Martino, Ashot Minasyan

arxiv:0906.1606 v3 · 2009-06-08 · 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{5E5IGYQSEGW5P2M2XB3V6722IH}

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	2026-05-18T01:02:46.179039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e93a83621221add7e99ab8775f7f5a41fca524c5ec6bc9e11d1affe18aedc859

Aliases

arxiv: 0906.1606 · arxiv_version: 0906.1606v3 · doi: 10.48550/arxiv.0906.1606 · pith_short_12: 5E5IGYQSEGW5 · pith_short_16: 5E5IGYQSEGW5P2M2 · pith_short_8: 5E5IGYQS

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/5E5IGYQSEGW5P2M2XB3V6722IH \
  | 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: e93a83621221add7e99ab8775f7f5a41fca524c5ec6bc9e11d1affe18aedc859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91851cd0bd8a7769980365c63e23d503e364088efa5c7e8896ecb6e0bfd7182",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-06-08T21:36:03Z",
    "title_canon_sha256": "d1d5ad372e7063180d86ae31202fdff99faefd35a42201834ea768e684033c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1606",
    "kind": "arxiv",
    "version": 3
  }
}