Pith Number

pith:WXADHYF6

pith:2013:WXADHYF6VAZKLMR7UQSKN6VD3S

not attested not anchored not stored refs pending

Hadamard-Perron theorems and effective hyperbolicity

Vaughn Climenhaga, Yakov Pesin

arxiv:1303.2375 v1 · 2013-03-10 · 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{WXADHYF6VAZKLMR7UQSKN6VD3S}

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	2026-05-18T00:32:15.579125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c033e0bea832a5b23fa424a6faa3dcae928f280548a41184566b6d11c29140

Aliases

arxiv: 1303.2375 · arxiv_version: 1303.2375v1 · doi: 10.48550/arxiv.1303.2375 · pith_short_12: WXADHYF6VAZK · pith_short_16: WXADHYF6VAZKLMR7 · pith_short_8: WXADHYF6

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/WXADHYF6VAZKLMR7UQSKN6VD3S \
  | 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: b5c033e0bea832a5b23fa424a6faa3dcae928f280548a41184566b6d11c29140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cca61c67fb8b5295664073c9546a09dedc0f5eef2e87dae2fed27d073f8c467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-10T21:05:07Z",
    "title_canon_sha256": "05207d36ebadf963df6fe47f4e00227569e67bd95c8963d683e1c89adc5ef57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2375",
    "kind": "arxiv",
    "version": 1
  }
}