Pith Number

pith:PEJTPBMS

pith:2010:PEJTPBMSXXXGRA3YT72ONCIUQG

not attested not anchored not stored refs pending

Hyperbolic Periodic Points and Hyperbolic Measures with Dominated Splitting

Xueting Tian

arxiv:1011.6011 v3 · 2010-11-28 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEJTPBMSXXXGRA3YT72ONCIUQG}

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	2026-05-18T01:26:25.812349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7913378592bdee6883789ff4e6891481b42d46fb1248fd151bb67e348403825e

Aliases

arxiv: 1011.6011 · arxiv_version: 1011.6011v3 · doi: 10.48550/arxiv.1011.6011 · pith_short_12: PEJTPBMSXXXG · pith_short_16: PEJTPBMSXXXGRA3Y · pith_short_8: PEJTPBMS

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/PEJTPBMSXXXGRA3YT72ONCIUQG \
  | 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: 7913378592bdee6883789ff4e6891481b42d46fb1248fd151bb67e348403825e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de932a8647d836a1fbd4f4c628faf827ae70252353a318460d2dc58cba8786c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-28T02:54:30Z",
    "title_canon_sha256": "0d50ebe282baa07bff873350908e02c0cebaaedea0304fea4c2b9d6d85b5d7aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6011",
    "kind": "arxiv",
    "version": 3
  }
}