Pith Number

pith:H4WKLZBG

pith:2015:H4WKLZBGGDFY74TWJQ4EPAYLT4

not attested not anchored not stored refs pending

Amenability and Uniqueness for Groupoids Associated with Inverse Semigroups

David Milan, Scott M. LaLonde

arxiv:1511.01517 v2 · 2015-11-04 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4WKLZBGGDFY74TWJQ4EPAYLT4}

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	2026-05-18T00:59:35.533824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2ca5e42630cb8ff2764c3847830b9f0e88cf65452268bfce78d11a023bc7b7

Aliases

arxiv: 1511.01517 · arxiv_version: 1511.01517v2 · doi: 10.48550/arxiv.1511.01517 · pith_short_12: H4WKLZBGGDFY · pith_short_16: H4WKLZBGGDFY74TW · pith_short_8: H4WKLZBG

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/H4WKLZBGGDFY74TWJQ4EPAYLT4 \
  | 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: 3f2ca5e42630cb8ff2764c3847830b9f0e88cf65452268bfce78d11a023bc7b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28540b50fd09eedf2c12e4f63529a720bace98d90069d452dca7b1e2c9f7f080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-04T21:15:00Z",
    "title_canon_sha256": "d092df3c23c7a5a664d876dd768a0c84d0937ca71e190b7809d62f2e93e5c9c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01517",
    "kind": "arxiv",
    "version": 2
  }
}