Pith Number

pith:7Y4LJMRK

pith:2019:7Y4LJMRKEE7VUYXN7YNS3CVVD7

not attested not anchored not stored refs pending

Necessary conditions for tiling finitely generated amenable groups

Benjamin Hellouin de Menibus, Hugo Maturana Cornejo

arxiv:1904.03907 v2 · 2019-04-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Y4LJMRKEE7VUYXN7YNS3CVVD7}

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	2026-05-17T23:42:02.303182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe38b4b22a213f5a62edfe1b2d8ab51fddcb556e993a54839ed2bffe8e23825e

Aliases

arxiv: 1904.03907 · arxiv_version: 1904.03907v2 · doi: 10.48550/arxiv.1904.03907 · pith_short_12: 7Y4LJMRKEE7V · pith_short_16: 7Y4LJMRKEE7VUYXN · pith_short_8: 7Y4LJMRK

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/7Y4LJMRKEE7VUYXN7YNS3CVVD7 \
  | 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: fe38b4b22a213f5a62edfe1b2d8ab51fddcb556e993a54839ed2bffe8e23825e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6ba95dd76b8da60632a5e697938b2b7359d358b95094d0de10d092a48f5dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-08T09:31:20Z",
    "title_canon_sha256": "af516aa65f1b3839cd01cc0b71904ace43583cbb1f4f95673094cfdeca8c28ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03907",
    "kind": "arxiv",
    "version": 2
  }
}