Pith Number

pith:Z75OXZ5C

pith:2017:Z75OXZ5CWUFKM7GRRVHSEWFB7E

not attested not anchored not stored refs pending

Linear response for random dynamical systems

Beno\^it Saussol, Marks Ruziboev, Wael Bahsoun

arxiv:1710.03706 v2 · 2017-10-10 · 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{Z75OXZ5CWUFKM7GRRVHSEWFB7E}

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	2026-05-18T00:20:56.140714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffaebe7a2b50aa67cd18d4f2258a1f90082c835245b9ae02688863c95c39fcd

Aliases

arxiv: 1710.03706 · arxiv_version: 1710.03706v2 · doi: 10.48550/arxiv.1710.03706 · pith_short_12: Z75OXZ5CWUFK · pith_short_16: Z75OXZ5CWUFKM7GR · pith_short_8: Z75OXZ5C

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/Z75OXZ5CWUFKM7GRRVHSEWFB7E \
  | 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: cffaebe7a2b50aa67cd18d4f2258a1f90082c835245b9ae02688863c95c39fcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a382a1d59b1c4c8f35f3d59e5d557b4182d2c830c997f9346bd1d9509b33943b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-10T16:26:11Z",
    "title_canon_sha256": "a920d7dd62bdd12af9fd2fcdc842dd8f8f8508ca637f6e0674a8c9a22bd88ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03706",
    "kind": "arxiv",
    "version": 2
  }
}