Pith Number

pith:32MDGILT

pith:2012:32MDGILTCJQGTURUMD7GVM4L2R

not attested not anchored not stored refs pending

More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures

Dana Bartosova

arxiv:1204.0037 v2 · 2012-03-30 · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32MDGILTCJQGTURUMD7GVM4L2R}

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	2026-05-18T03:58:37.846790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de98332173126069d23460fe6ab38bd46b116f72ddd75775ee094875c77b136d

Aliases

arxiv: 1204.0037 · arxiv_version: 1204.0037v2 · doi: 10.48550/arxiv.1204.0037 · pith_short_12: 32MDGILTCJQG · pith_short_16: 32MDGILTCJQGTURU · pith_short_8: 32MDGILT

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/32MDGILTCJQGTURUMD7GVM4L2R \
  | 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: de98332173126069d23460fe6ab38bd46b116f72ddd75775ee094875c77b136d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870e9b9fe2a49e8c578de8aa090808ddc0e390d8c2b8cc738bf76a1ca42ef9d7",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-30T22:24:14Z",
    "title_canon_sha256": "466d728658752da4ce7bf00af419ca14d388bf6fab7ce9f3dceb3d2ef762bc6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0037",
    "kind": "arxiv",
    "version": 2
  }
}