Pith Number

pith:KGNNK3HO

pith:2014:KGNNK3HOCNEN5RFQJCI7HHC565

not attested not anchored not stored refs pending

Ratner's property and mild mixing for smooth flows on surfaces

Adam Kanigowski, Joanna Ku{\l}aga Przymus

arxiv:1409.2987 v1 · 2014-09-10 · 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{KGNNK3HOCNEN5RFQJCI7HHC565}

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	2026-05-18T02:43:08.596176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519ad56cee1348dec4b04891f39c5df74960fac5835b04c3f15b8da16d7b62a5

Aliases

arxiv: 1409.2987 · arxiv_version: 1409.2987v1 · doi: 10.48550/arxiv.1409.2987 · pith_short_12: KGNNK3HOCNEN · pith_short_16: KGNNK3HOCNEN5RFQ · pith_short_8: KGNNK3HO

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/KGNNK3HOCNEN5RFQJCI7HHC565 \
  | 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: 519ad56cee1348dec4b04891f39c5df74960fac5835b04c3f15b8da16d7b62a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b5d3344ebea9e50cc9bc61ac4e051e62788d791e2e5d210f7ea502e1f8512ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-10T08:32:28Z",
    "title_canon_sha256": "1e295be804e18059096575314fbbe67a2b780745a4dc5353f429d14d5ddb4a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2987",
    "kind": "arxiv",
    "version": 1
  }
}