Pith Number

pith:YKELRNMP

pith:2017:YKELRNMPHNWHIKZYQYH43YAXDO

not attested not anchored not stored refs pending

Linear Response for dynamical systems with additive noise

Paolo Giulietti, Stefano Galatolo

arxiv:1711.04319 v4 · 2017-11-12 · math.DS · math-ph · 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{YKELRNMPHNWHIKZYQYH43YAXDO}

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	2026-05-17T23:52:18.770850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c288b8b58f3b6c742b38860fcde0171bb231ab12d78f7022d9622c393a4e2463

Aliases

arxiv: 1711.04319 · arxiv_version: 1711.04319v4 · doi: 10.48550/arxiv.1711.04319 · pith_short_12: YKELRNMPHNWH · pith_short_16: YKELRNMPHNWHIKZY · pith_short_8: YKELRNMP

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/YKELRNMPHNWHIKZYQYH43YAXDO \
  | 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: c288b8b58f3b6c742b38860fcde0171bb231ab12d78f7022d9622c393a4e2463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0400d678ebbd4a3e2776f18201afe8390624381ad3e6510f281ee14582ff5dde",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-12T16:28:40Z",
    "title_canon_sha256": "e808cb8a872089e0a315540e766d7ba3d8ff118255678d28c5999d092ecc46b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04319",
    "kind": "arxiv",
    "version": 4
  }
}