Pith Number

pith:M22GOXKC

pith:2015:M22GOXKCKX3TTNEMX5ZUQSUXFP

not attested not anchored not stored refs pending

Krieger's finite generator theorem for actions of countable groups II

Brandon Seward

arxiv:1501.03367 v4 · 2015-01-14 · 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{M22GOXKCKX3TTNEMX5ZUQSUXFP}

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	2026-05-17T23:49:18.204129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b4675d4255f739b48cbf73484a972bd6439de36d3ca2a42e8324f9f5f5bccc

Aliases

arxiv: 1501.03367 · arxiv_version: 1501.03367v4 · doi: 10.48550/arxiv.1501.03367 · pith_short_12: M22GOXKCKX3T · pith_short_16: M22GOXKCKX3TTNEM · pith_short_8: M22GOXKC

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/M22GOXKCKX3TTNEMX5ZUQSUXFP \
  | 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: 66b4675d4255f739b48cbf73484a972bd6439de36d3ca2a42e8324f9f5f5bccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3efc0a5e6d06de52ebd79893af2b800cc1913df5e61446318e85aec209a6f90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-14T15:16:53Z",
    "title_canon_sha256": "2397e782bb1b5ee9611d4dc9387d7195741a79c8ab4b86ef84fe15c598bfc43c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03367",
    "kind": "arxiv",
    "version": 4
  }
}