Pith Number

pith:CN3NYDXT

pith:2017:CN3NYDXTAE6AX4ASWXGLISROWY

not attested not anchored not stored refs pending

Partially hyperbolic diffeomorphisms with one-dimensional neutral center on 3-manifolds

Jinhua Zhang

arxiv:1701.06176 v2 · 2017-01-22 · 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{CN3NYDXTAE6AX4ASWXGLISROWY}

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

Ergodicity and partial hyperbolicity on Seifert manifolds

Receipt and verification

First computed	2026-07-05T08:22:29.088128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1376dc0ef3013c0bf012b5ccb44a2eb62e6f9673ac68bb286a5d6d9ad3b26099

Aliases

arxiv: 1701.06176 · arxiv_version: 1701.06176v2 · doi: 10.48550/arxiv.1701.06176 · pith_short_12: CN3NYDXTAE6A · pith_short_16: CN3NYDXTAE6AX4AS · pith_short_8: CN3NYDXT

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/CN3NYDXTAE6AX4ASWXGLISROWY \
  | 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: 1376dc0ef3013c0bf012b5ccb44a2eb62e6f9673ac68bb286a5d6d9ad3b26099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e850e17c3097ba19ead2e040d86f990b00e9e48cbfb3acca991caf0d0171cb95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-22T15:41:57Z",
    "title_canon_sha256": "e8ea872c8b58316e55946f55149c328acc5f81af558b8ca6cfa4df28ef668470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06176",
    "kind": "arxiv",
    "version": 2
  }
}