Pith Number

pith:SNMMHKEE

pith:2019:SNMMHKEEMXQQZG5IZMTD3XBDE5

not attested not anchored not stored refs pending

Center foliation rigidity for partially hyperbolic toral diffeomorphisms

Andrey Gogolev, Boris Kalinin, Victoria Sadovskaya

arxiv:1908.03177 v1 · 2019-08-08 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNMMHKEEMXQQZG5IZMTD3XBDE5}

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	2026-07-04T23:52:26.901802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9358c3a88465e10c9ba8cb263ddc232766e23bb81541e87235affe23abac9991

Aliases

arxiv: 1908.03177 · arxiv_version: 1908.03177v1 · doi: 10.48550/arxiv.1908.03177 · pith_short_12: SNMMHKEEMXQQ · pith_short_16: SNMMHKEEMXQQZG5I · pith_short_8: SNMMHKEE

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/SNMMHKEEMXQQZG5IZMTD3XBDE5 \
  | 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: 9358c3a88465e10c9ba8cb263ddc232766e23bb81541e87235affe23abac9991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c44d05928139308aa3a45d53b802c7d0cddd84723a4b2c4b5fe39ec043ce5da",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-08T17:12:07Z",
    "title_canon_sha256": "cf47e663c0cac2ea31c61ea5f6892558aae7ae4c2b493a533eb8ab4b21ef5aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03177",
    "kind": "arxiv",
    "version": 1
  }
}