Pith Number

pith:BRZZXTUL

pith:2010:BRZZXTULFOCSDLZE56KX24NTK7

not attested not anchored not stored refs pending

Real extensions of distal minimal flows and continuous topological ergodic decompositions

Gernot Greschonig

arxiv:1005.1221 v2 · 2010-05-07 · 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{BRZZXTULFOCSDLZE56KX24NTK7}

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	2026-05-18T00:44:30.631836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c739bce8b2b8521af24ef957d71b357f0c6d13d9207f22c79066446790bbe00

Aliases

arxiv: 1005.1221 · arxiv_version: 1005.1221v2 · doi: 10.48550/arxiv.1005.1221 · pith_short_12: BRZZXTULFOCS · pith_short_16: BRZZXTULFOCSDLZE · pith_short_8: BRZZXTUL

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/BRZZXTULFOCSDLZE56KX24NTK7 \
  | 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: 0c739bce8b2b8521af24ef957d71b357f0c6d13d9207f22c79066446790bbe00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330360d7c1b8fbd725e9ad4f783ecf374f5242c28fd721e89cff0048d2342b18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-05-07T14:40:38Z",
    "title_canon_sha256": "35445f6f9124e7522c87a0efc2a35176aa7f07b532b3a288af6ba43e9476568d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1221",
    "kind": "arxiv",
    "version": 2
  }
}