Pith Number

pith:WI7NT3UN

pith:2012:WI7NT3UNGUFTLGK756SBWJMT2R

not attested not anchored not stored refs pending

Proper isometric actions of hyperbolic groups on $L^p$-spaces

Bogdan Nica

arxiv:1202.2597 v3 · 2012-02-13 · 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{WI7NT3UNGUFTLGK756SBWJMT2R}

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	2026-05-17T23:53:18.947782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23ed9ee8d350b35995fefa41b2593d4605b7bdd8305c74e71a2b4b71a36777e

Aliases

arxiv: 1202.2597 · arxiv_version: 1202.2597v3 · doi: 10.48550/arxiv.1202.2597 · pith_short_12: WI7NT3UNGUFT · pith_short_16: WI7NT3UNGUFTLGK7 · pith_short_8: WI7NT3UN

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/WI7NT3UNGUFTLGK756SBWJMT2R \
  | 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: b23ed9ee8d350b35995fefa41b2593d4605b7bdd8305c74e71a2b4b71a36777e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7884f29d0d77396cba779941f9bd9706351b3a36138c2b78f0d83fce3617497a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-13T01:10:32Z",
    "title_canon_sha256": "a024322e930453e94ecd1b42194f255a76bc7c910c001deba9e97ed3aef5750c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2597",
    "kind": "arxiv",
    "version": 3
  }
}