Pith Number

pith:DXKZV27S

pith:2024:DXKZV27SJLJS4VX3KOALTP24HY

not attested not anchored not stored refs pending

Ultracoproducts and weak containment for flows of topological groups

Andy Zucker

arxiv:2401.08000 v1 · 2024-01-15 · math.DS · math.LO · 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{DXKZV27SJLJS4VX3KOALTP24HY}

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.

Cited by

1 paper in Pith

Topological groups with tractable minimal dynamics

Receipt and verification

First computed	2026-07-05T07:34:05.829682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd59aebf24ad32e56fb5380b9bf5c3e23e823e199ae679d0f959b16291c1cbe

Aliases

arxiv: 2401.08000 · arxiv_version: 2401.08000v1 · doi: 10.48550/arxiv.2401.08000 · pith_short_12: DXKZV27SJLJS · pith_short_16: DXKZV27SJLJS4VX3 · pith_short_8: DXKZV27S

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/DXKZV27SJLJS4VX3KOALTP24HY \
  | 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: 1dd59aebf24ad32e56fb5380b9bf5c3e23e823e199ae679d0f959b16291c1cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52dcc3ab34629be05a1f6c6250d1bb7b45632c8f15684de2c1b649b143024b45",
    "cross_cats_sorted": [
      "math.LO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-01-15T22:58:37Z",
    "title_canon_sha256": "f395b726e15e97fc52e6ee82687df7df54c3a7b4a72c1925bc9da2517c492813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.08000",
    "kind": "arxiv",
    "version": 1
  }
}