Pith Number

pith:NFNG5PZO

pith:2024:NFNG5PZODOGHGASGBQJCHC57MV

not attested not anchored not stored refs pending

Ergodic measures with large entropy have long unstable manifolds for $C^\infty$ surface diffeomorphisms

Chiyi Luo, Dawei Yang

arxiv:2410.07979 v3 · 2024-10-10 · math.DS

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\usepackage{pith}
\pithnumber{NFNG5PZODOGHGASGBQJCHC57MV}

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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.

Cited by

1 paper in Pith

Discontinuity of Lyapunov exponents vs Entropy for smooth surface diffeomorphisms

Receipt and verification

First computed	2026-07-05T11:34:44.168172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

695a6ebf2e1b8c7302460c12238bbf6575f8df2c38da47790bc76b2e83efaecc

Aliases

arxiv: 2410.07979 · arxiv_version: 2410.07979v3 · doi: 10.48550/arxiv.2410.07979 · pith_short_12: NFNG5PZODOGH · pith_short_16: NFNG5PZODOGHGASG · pith_short_8: NFNG5PZO

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/NFNG5PZODOGHGASGBQJCHC57MV \
  | 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: 695a6ebf2e1b8c7302460c12238bbf6575f8df2c38da47790bc76b2e83efaecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058bf3640e4ab6b6dfe01be6492692e0b26035eb4e60720b579339e0d534da0d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-10-10T14:35:50Z",
    "title_canon_sha256": "d19a643a77edfdbf8c3a3e7ff69af8eb03f7256ade6ec83446301aceea46f36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.07979",
    "kind": "arxiv",
    "version": 3
  }
}