Pith Number

pith:QD5RBTPB

pith:2015:QD5RBTPBEV76IPAMZYK5B7V2JA

not attested not anchored not stored refs pending

Center Specification Property and Entropy for Partially Hyperbolic Diffeomorphisms

Lin Wang, Yujun Zhu

arxiv:1505.07177 v1 · 2015-05-27 · 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{QD5RBTPBEV76IPAMZYK5B7V2JA}

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	2026-05-18T02:02:07.250190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fb10cde1257fe43c0cce15d0feba480899ea6fde1dfa045ecceed747d68814

Aliases

arxiv: 1505.07177 · arxiv_version: 1505.07177v1 · doi: 10.48550/arxiv.1505.07177 · pith_short_12: QD5RBTPBEV76 · pith_short_16: QD5RBTPBEV76IPAM · pith_short_8: QD5RBTPB

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/QD5RBTPBEV76IPAMZYK5B7V2JA \
  | 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: 80fb10cde1257fe43c0cce15d0feba480899ea6fde1dfa045ecceed747d68814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65863d835916676d9d82f2834e2c65eb8fdf174696a056338e6cc643a14dcec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-27T02:25:26Z",
    "title_canon_sha256": "25783cb94ae0d0a9b6b8b9bcb033b5ab8e4b899b36717d28956e1d58c72ec707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07177",
    "kind": "arxiv",
    "version": 1
  }
}