Pith Number

pith:Y242DKSH

pith:2014:Y242DKSH52MJ4I5JKZFJVGT4EM

not attested not anchored not stored refs pending

Continuity of entropy map for nonuniformly hyperbolic systems

Gang Liao, Shirou Wang, Wenxiang Sun

arxiv:1407.8102 v1 · 2014-07-30 · 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{Y242DKSH52MJ4I5JKZFJVGT4EM}

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	2026-05-18T02:46:13.607493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b9a1aa47ee989e23a9564a9a9a7c232772b0e9942a6aef6be2ea3f8b40b797

Aliases

arxiv: 1407.8102 · arxiv_version: 1407.8102v1 · doi: 10.48550/arxiv.1407.8102 · pith_short_12: Y242DKSH52MJ · pith_short_16: Y242DKSH52MJ4I5J · pith_short_8: Y242DKSH

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/Y242DKSH52MJ4I5JKZFJVGT4EM \
  | 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: c6b9a1aa47ee989e23a9564a9a9a7c232772b0e9942a6aef6be2ea3f8b40b797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f9cbc9768aecbdf7ea41c7c94e6baa0f1fd2b3c0fc43a0a55b83337820cf06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-30T15:46:24Z",
    "title_canon_sha256": "fab4570d32facc276761e70c4f4650f288ae90d057c7c63379d5c2ef36984d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8102",
    "kind": "arxiv",
    "version": 1
  }
}