Pith Number

pith:UP66T5F5

pith:2015:UP66T5F5O4S4OCQS5N53ISEHOW

not attested not anchored not stored refs pending

$C^r$-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms

Karina Marin

arxiv:1510.06300 v2 · 2015-10-21 · 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{UP66T5F5O4S4OCQS5N53ISEHOW}

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	2026-05-18T01:15:23.169585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3fde9f4bd7725c70a12eb7bb4488775b9904de0fb62766d5055797783c41ada

Aliases

arxiv: 1510.06300 · arxiv_version: 1510.06300v2 · doi: 10.48550/arxiv.1510.06300 · pith_short_12: UP66T5F5O4S4 · pith_short_16: UP66T5F5O4S4OCQS · pith_short_8: UP66T5F5

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/UP66T5F5O4S4OCQS5N53ISEHOW \
  | 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: a3fde9f4bd7725c70a12eb7bb4488775b9904de0fb62766d5055797783c41ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3ef6b00c15d5f552515a0eeb40861162a0bb5276bb66b0ba7bcec1b6db2b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-21T15:35:23Z",
    "title_canon_sha256": "75371b675b2c3aa4f9570b18fba190d8f3a454f786403b536e4b9d6596ca297b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06300",
    "kind": "arxiv",
    "version": 2
  }
}