Pith Number

pith:IX2KDA2Z

pith:2018:IX2KDA2Z4TKW7MAKUKACMVLZFH

not attested not anchored not stored refs pending

Divergence and quasi-isometry classes of random Gromov's monsters

Alessandro Sisto, Dominik Gruber

arxiv:1805.04039 v1 · 2018-05-10 · 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{IX2KDA2Z4TKW7MAKUKACMVLZFH}

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

Controlled Analytic Properties and the Quantitative Baum-Connes Conjecture

Receipt and verification

First computed	2026-05-18T00:16:15.191607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f4a18359e4d56fb00aa28026557929c607e62b86392d984c4d04b48d95d283

Aliases

arxiv: 1805.04039 · arxiv_version: 1805.04039v1 · doi: 10.48550/arxiv.1805.04039 · pith_short_12: IX2KDA2Z4TKW · pith_short_16: IX2KDA2Z4TKW7MAK · pith_short_8: IX2KDA2Z

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/IX2KDA2Z4TKW7MAKUKACMVLZFH \
  | 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: 45f4a18359e4d56fb00aa28026557929c607e62b86392d984c4d04b48d95d283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192eecf997d400d05efb805545294f3cc5d3ec80e4a549cad67dceadd443d4a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-10T16:09:26Z",
    "title_canon_sha256": "f83c2d28ba21931a6d64defc250445497259cc3a1000a2a0c293d594ba88cd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04039",
    "kind": "arxiv",
    "version": 1
  }
}