Pith Number

pith:SJWT2W4M

pith:2016:SJWT2W4MQC6PKD4J6UTSOUHBYL

not attested not anchored not stored refs pending

Non-amenable principal groupoids with weak containment

Martin Finn-Sell, Vadim Alekseev

arxiv:1606.07499 v3 · 2016-06-23 · math.OA · 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{SJWT2W4MQC6PKD4J6UTSOUHBYL}

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	2026-05-18T00:17:47.497850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

926d3d5b8c80bcf50f89f5272750e1c2d3e8e5166f9a226da56a8d77086347f4

Aliases

arxiv: 1606.07499 · arxiv_version: 1606.07499v3 · doi: 10.48550/arxiv.1606.07499 · pith_short_12: SJWT2W4MQC6P · pith_short_16: SJWT2W4MQC6PKD4J · pith_short_8: SJWT2W4M

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/SJWT2W4MQC6PKD4J6UTSOUHBYL \
  | 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: 926d3d5b8c80bcf50f89f5272750e1c2d3e8e5166f9a226da56a8d77086347f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36073bee6f38b3c155dbc278d62c8abc57e5d34fa58eeea767a64fae7735fd9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-06-23T22:19:06Z",
    "title_canon_sha256": "19d5ce02f76316f9fac4b03d8069cee801ae06646de6868b6f45e57a6fb67727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07499",
    "kind": "arxiv",
    "version": 3
  }
}