Pith Number

pith:T3MBOMCD

pith:2018:T3MBOMCDX6J364UKYQFRQNGKB2

not attested not anchored not stored refs pending

Mutliple mixing and disjointness for time changes of bounded-type Heisenberg nilflows

Adam Kanigowski, Giovanni Forni

arxiv:1810.13319 v1 · 2018-10-31 · 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{T3MBOMCDX6J364UKYQFRQNGKB2}

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	2026-05-18T00:01:49.715536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed8173043bf93bf728ac40b1834ca0ebe3f8c99536e851dd9269cac08406122

Aliases

arxiv: 1810.13319 · arxiv_version: 1810.13319v1 · doi: 10.48550/arxiv.1810.13319 · pith_short_12: T3MBOMCDX6J3 · pith_short_16: T3MBOMCDX6J364UK · pith_short_8: T3MBOMCD

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/T3MBOMCDX6J364UKYQFRQNGKB2 \
  | 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: 9ed8173043bf93bf728ac40b1834ca0ebe3f8c99536e851dd9269cac08406122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8dfc90681e28e8f74b27ff1021ad2738c2040ba2226df204da5884b71f71cd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-31T14:55:17Z",
    "title_canon_sha256": "e1f563ac28ed034edd93e57410f65ddb84b4d71a3b96fe5ea0e433907ea4c5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13319",
    "kind": "arxiv",
    "version": 1
  }
}