Pith Number

pith:5BB4KTKR

pith:2017:5BB4KTKR6CFPWISKCT7DMXX6NL

not attested not anchored not stored refs pending

Hyperbolicities in CAT(0) cube complexes

Anthony Genevois

arxiv:1709.08843 v2 · 2017-09-26 · 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{5BB4KTKR6CFPWISKCT7DMXX6NL}

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

Algorithms detecting stability and Morseness for finitely generated groups

Receipt and verification

First computed	2026-05-17T23:47:44.494492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e843c54d51f08afb224a14fe365efe6af38e3c136743080adfe39dd2c721ddfa

Aliases

arxiv: 1709.08843 · arxiv_version: 1709.08843v2 · doi: 10.48550/arxiv.1709.08843 · pith_short_12: 5BB4KTKR6CFP · pith_short_16: 5BB4KTKR6CFPWISK · pith_short_8: 5BB4KTKR

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/5BB4KTKR6CFPWISKCT7DMXX6NL \
  | 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: e843c54d51f08afb224a14fe365efe6af38e3c136743080adfe39dd2c721ddfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3d6916ecba010c20fa532edc2ee540e6bd6e23465d0dbb4e9f37d51a3c40dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-26T05:50:32Z",
    "title_canon_sha256": "93c43be2ef834ba51a8eba204320824bfc62f143026278a95329f070a6bf21a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08843",
    "kind": "arxiv",
    "version": 2
  }
}