Pith Number

pith:BEMF53HJ

pith:2021:BEMF53HJJ7NGDJLLYUCSK37DVK

not attested not anchored not stored refs pending

Elementary amenable groups of cohomological dimension 3

Jonathan A. Hillman

arxiv:2102.02947 v3 · 2021-02-05 · 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{BEMF53HJJ7NGDJLLYUCSK37DVK}

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	2026-05-18T02:45:20.844136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09185eece94fda61a56bc505256fe3aab0390dd46577d706477018fb754a1217

Aliases

arxiv: 2102.02947 · arxiv_version: 2102.02947v3 · doi: 10.48550/arxiv.2102.02947 · pith_short_12: BEMF53HJJ7NG · pith_short_16: BEMF53HJJ7NGDJLL · pith_short_8: BEMF53HJ

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/BEMF53HJJ7NGDJLLYUCSK37DVK \
  | 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: 09185eece94fda61a56bc505256fe3aab0390dd46577d706477018fb754a1217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23dceced4f4b7cb85f31e49581881fff22d0564e80efd29440cf53806dc6de8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-02-05T01:04:57Z",
    "title_canon_sha256": "33a74d9a7190020e8965f2d461b28ec0166cdc47d8cca24233fbc5c7f0d85406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02947",
    "kind": "arxiv",
    "version": 3
  }
}