Pith Number

pith:6XS35TMO

pith:2025:6XS35TMOCJ6JUSEVKUTZYVPTRW

not attested not anchored not stored refs pending

Bounded cohomology, quotient extensions, and hierarchical hyperbolicity

Alessandro Sisto, Francesco Fournier-Facio, Giorgio Mangioni

arxiv:2505.20462 v4 · 2025-05-26 · 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{6XS35TMOCJ6JUSEVKUTZYVPTRW}

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

Central extensions and proper actions on products of hyperbolic spaces

Receipt and verification

First computed	2026-07-17T01:21:41.391624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e5becd8e127c9a489555279c55f38db2016b171633c79a7e29cf1a1f1730ad

Aliases

arxiv: 2505.20462 · arxiv_version: 2505.20462v4 · doi: 10.48550/arxiv.2505.20462 · pith_short_12: 6XS35TMOCJ6J · pith_short_16: 6XS35TMOCJ6JUSEV · pith_short_8: 6XS35TMO

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/6XS35TMOCJ6JUSEVKUTZYVPTRW \
  | 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: f5e5becd8e127c9a489555279c55f38db2016b171633c79a7e29cf1a1f1730ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c31f2e9f813628d5fafe8113584168883b73c04b4d467f4c5b1c2de1063e534",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-26T18:59:50Z",
    "title_canon_sha256": "f8fa65fe5a9f80609dacefea9e165a4200602aa35413d1d5fec7469b2939ba23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20462",
    "kind": "arxiv",
    "version": 4
  }
}