Pith Number

pith:O6ABT2F2

pith:2018:O6ABT2F2CSKY6X64JQH3A3M462

not attested not anchored not stored refs pending

Automorphisms of graph products of groups and acylindrical hyperbolicity

Anthony Genevois

arxiv:1807.00622 v4 · 2018-07-02 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6ABT2F2CSKY6X64JQH3A3M462}

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

2 papers in Pith

Acylindrical hyperbolicity of outer automorphism groups of right-angled Artin groups

Short positive loxodromics in graph products

Receipt and verification

First computed	2026-07-05T04:15:05.832482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

778019e8ba14958f5fdc4c0fb06d9cf690d8a02d94ab8f59845fc4b628f53e18

Aliases

arxiv: 1807.00622 · arxiv_version: 1807.00622v4 · doi: 10.48550/arxiv.1807.00622 · pith_short_12: O6ABT2F2CSKY · pith_short_16: O6ABT2F2CSKY6X64 · pith_short_8: O6ABT2F2

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/O6ABT2F2CSKY6X64JQH3A3M462 \
  | 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: 778019e8ba14958f5fdc4c0fb06d9cf690d8a02d94ab8f59845fc4b628f53e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3972ab72758a48f77b4e51b055a222fa943c3b0b528ca9f5a7c720f6901f6b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-02T12:22:29Z",
    "title_canon_sha256": "4506cda3dc2bb2febf06d7387751b68af0291ffc0f4cf54bb8935148d149b82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00622",
    "kind": "arxiv",
    "version": 4
  }
}