Pith Number

pith:AJOYC574

pith:2020:AJOYC574XXL4X36BFWA5M2EP5M

not attested not anchored not stored refs pending

A noise-induced transition in the Lorenz system

Martin Hairer, Michele Coti Zelati

arxiv:2004.12815 v4 · 2020-04-27 · math.PR · math.CA · 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{AJOYC574XXL4X36BFWA5M2EP5M}

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.

Cited by

1 paper in Pith

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing

Receipt and verification

First computed	2026-07-05T11:16:25.592041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

025d8177fcbdd7cbefc12d81d6688feb18022b48cf281ce15401a6af9b70c0b3

Aliases

arxiv: 2004.12815 · arxiv_version: 2004.12815v4 · doi: 10.48550/arxiv.2004.12815 · pith_short_12: AJOYC574XXL4 · pith_short_16: AJOYC574XXL4X36B · pith_short_8: AJOYC574

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/AJOYC574XXL4X36BFWA5M2EP5M \
  | 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: 025d8177fcbdd7cbefc12d81d6688feb18022b48cf281ce15401a6af9b70c0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ee8dedb040f77608b0d88a252326e56662f9b4b0f776c413ba86876fc71120",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-04-27T13:53:51Z",
    "title_canon_sha256": "fb5ed4cd1a7f4cce7da959095f4d511e532fa821f5020c1d5f5c32c6703d956f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12815",
    "kind": "arxiv",
    "version": 4
  }
}