Pith Number

pith:72NTMBC4

pith:2023:72NTMBC46N4OPZ3KM7XWQRDDQX

not attested not anchored not stored refs pending

Observable full-horseshoes for Lagrangian flows advected by stochastic 2D Navier-Stokes equations

Jianhua Zhang, Wen Huang

arxiv:2311.05193 v1 · 2023-11-09 · math.DS · math-ph · math.AP · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72NTMBC46N4OPZ3KM7XWQRDDQX}

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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

Non uniform expansion and additive noise imply random horseshoe

Receipt and verification

First computed	2026-07-05T07:10:55.905774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9b36045cf378e7e76a67ef68446385e56d56078f3a0b0ddedf43dce6f59e86

Aliases

arxiv: 2311.05193 · arxiv_version: 2311.05193v1 · doi: 10.48550/arxiv.2311.05193 · pith_short_12: 72NTMBC46N4O · pith_short_16: 72NTMBC46N4OPZ3K · pith_short_8: 72NTMBC4

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/72NTMBC46N4OPZ3KM7XWQRDDQX \
  | 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: fe9b36045cf378e7e76a67ef68446385e56d56078f3a0b0ddedf43dce6f59e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584be00447a23efe994de94915b3d780fb75c831ae766f5a8c7c2c73193f18f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-11-09T08:13:01Z",
    "title_canon_sha256": "9d8552cb0e4bc2bb7dbb3d06a5e2a5ef1ad41fa106bd234b9b4cf8c860c93167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.05193",
    "kind": "arxiv",
    "version": 1
  }
}