Pith Number

pith:MSX7AQT5

pith:2024:MSX7AQT5S4HRNMNN4OOOALW25X

not attested not anchored not stored refs pending

Invariant distributions of partially hyperbolic systems: fractal graphs, excessive regularity, and rigidity

Disheng Xu, Jiesong Zhang

arxiv:2411.19665 v3 · 2024-11-29 · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSX7AQT5S4HRNMNN4OOOALW25X}

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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

Extremal distributions of partially hyperbolic systems: the Lipschitz threshold

Receipt and verification

First computed	2026-07-05T10:26:11.322528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64aff0427d970f16b1ade39ce02edaede80835e5ace4f862476f55a205717282

Aliases

arxiv: 2411.19665 · arxiv_version: 2411.19665v3 · doi: 10.48550/arxiv.2411.19665 · pith_short_12: MSX7AQT5S4HR · pith_short_16: MSX7AQT5S4HRNMNN · pith_short_8: MSX7AQT5

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/MSX7AQT5S4HRNMNN4OOOALW25X \
  | 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: 64aff0427d970f16b1ade39ce02edaede80835e5ace4f862476f55a205717282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "084ebf74e942d7d1e7253d1ecd68fe894d8a6e06a862e9fe27d616a01107a064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-11-29T12:38:35Z",
    "title_canon_sha256": "23f78758ecfc06d0462a1f48d1d812fa8783086911422d46bd489950cd9a1dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19665",
    "kind": "arxiv",
    "version": 3
  }
}