Pith Number

pith:4GXGU4KW

pith:2022:4GXGU4KWBYFZNE44HLQOMYHO35

not attested not anchored not stored refs pending

Coarse fixed point properties

Jeroen Winkel, Romain Tessera

arxiv:2212.04900 v1 · 2022-12-09 · math.GR · math.MG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GXGU4KWBYFZNE44HLQOMYHO35}

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

Geometric Banach property (T) for metric spaces via Banach representations of Roe algebras

Receipt and verification

First computed	2026-07-05T05:23:53.514930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ae6a71560e0b96939c3ae0e660eedf41c8f7bda57694b8f3d15fe23dedd5ad

Aliases

arxiv: 2212.04900 · arxiv_version: 2212.04900v1 · doi: 10.48550/arxiv.2212.04900 · pith_short_12: 4GXGU4KWBYFZ · pith_short_16: 4GXGU4KWBYFZNE44 · pith_short_8: 4GXGU4KW

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/4GXGU4KWBYFZNE44HLQOMYHO35 \
  | 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: e1ae6a71560e0b96939c3ae0e660eedf41c8f7bda57694b8f3d15fe23dedd5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598a5f4219cd8d386fba8be7fa32756f41e8975f6638989c10296931301dd2e6",
    "cross_cats_sorted": [
      "math.MG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-12-09T15:07:02Z",
    "title_canon_sha256": "383da1fbd4f42f4014367f54f0d84459c6ba96abdc23c6b93ca36c3cb586b0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.04900",
    "kind": "arxiv",
    "version": 1
  }
}