Pith Number

pith:I5UM3K5L

pith:2006:I5UM3K5LLMN62M6VH7C56OWJ6Y

not attested not anchored not stored refs pending

Topological Entropy and Partially Hyperbolic Diffeomorphisms

Radu Saghin, Yongxia Hua, Zhihong Xia

arxiv:math/0608720 v1 · 2006-08-29 · 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{I5UM3K5LLMN62M6VH7C56OWJ6Y}

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	2026-05-18T04:28:28.061629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4768cdabab5b1bed33d53fc5df3ac9f6154838ccfe857a1c1602bed2fd3e7b82

Aliases

arxiv: math/0608720 · arxiv_version: math/0608720v1 · doi: 10.48550/arxiv.math/0608720 · pith_short_12: I5UM3K5LLMN6 · pith_short_16: I5UM3K5LLMN62M6V · pith_short_8: I5UM3K5L

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/I5UM3K5LLMN62M6VH7C56OWJ6Y \
  | 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: 4768cdabab5b1bed33d53fc5df3ac9f6154838ccfe857a1c1602bed2fd3e7b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14cf053321f58c622ac04e61cfe786622e769c9f9d3c5da003ee63e20e7a74b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-08-29T15:37:40Z",
    "title_canon_sha256": "0e557f07dfb7c955329760cb906003346e8c5e6967f62761e1f0c793596ecbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608720",
    "kind": "arxiv",
    "version": 1
  }
}