Pith Number

pith:ELPIP34Z

pith:2026:ELPIP34ZW2KAATRYGQMH5LPKYU

not attested not anchored not stored refs pending

Coarse Structures on Homogeneous Spaces

Carlos P\'erez Estrada, Christian Rosendal

arxiv:2605.23822 v1 · 2026-05-22 · math.GR · math.GN · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELPIP34ZW2KAATRYGQMH5LPKYU}

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	2026-05-25T02:02:34.178838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22de87ef99b694004e3834187eadeac503422b92181d125b0eb8bfb0fce49f07

Aliases

arxiv: 2605.23822 · arxiv_version: 2605.23822v1 · doi: 10.48550/arxiv.2605.23822 · pith_short_12: ELPIP34ZW2KA · pith_short_16: ELPIP34ZW2KAATRY · pith_short_8: ELPIP34Z

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/ELPIP34ZW2KAATRYGQMH5LPKYU \
  | 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: 22de87ef99b694004e3834187eadeac503422b92181d125b0eb8bfb0fce49f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b27a4fde03d1b80d90fde2ffdecfd5c66856745803793c8ca5f8fbcc02e17a1",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-22T16:24:41Z",
    "title_canon_sha256": "07ecf54199a9a1a95fda8244f9231e8784aa8a6beedca7283d75bb4cb67ab133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23822",
    "kind": "arxiv",
    "version": 1
  }
}