Pith Number

pith:FQUU3HN6

pith:2017:FQUU3HN6Z7GOQNGR3SH6OU3ZO2

not attested not anchored not stored refs pending

Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families

Daniel Groves, Michael Hull

arxiv:1704.03491 v1 · 2017-04-11 · 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{FQUU3HN6Z7GOQNGR3SH6OU3ZO2}

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	2026-05-18T00:46:28.701887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c294d9dbecfcce834d1dc8fe7537976a7537a140862842a94ed9920445d6cf4

Aliases

arxiv: 1704.03491 · arxiv_version: 1704.03491v1 · doi: 10.48550/arxiv.1704.03491 · pith_short_12: FQUU3HN6Z7GO · pith_short_16: FQUU3HN6Z7GOQNGR · pith_short_8: FQUU3HN6

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/FQUU3HN6Z7GOQNGR3SH6OU3ZO2 \
  | 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: 2c294d9dbecfcce834d1dc8fe7537976a7537a140862842a94ed9920445d6cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60593649a051b310627ce9fd73d3fb2dd5d7facf0516f6680f1bd9bef5458e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-11T18:44:46Z",
    "title_canon_sha256": "a8942b1477c3e60390178116c1e954fe378697d86f77386676ebc4c83c24c376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03491",
    "kind": "arxiv",
    "version": 1
  }
}