Pith Number

pith:5MCCJ3C7

pith:2018:5MCCJ3C7ICP7BYA7CTZQFZS4OR

not attested not anchored not stored refs pending

Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds. [A contribution to the Gallavotti-Cohen chaotic hypothesis.]

David Ruelle

arxiv:1805.05910 v1 · 2018-05-15 · 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{5MCCJ3C7ICP7BYA7CTZQFZS4OR}

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	2026-05-17T23:59:08.970586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb0424ec5f409ff0e01f14f302e65c747553fa42ea1a84ebab90a671d15cf24d

Aliases

arxiv: 1805.05910 · arxiv_version: 1805.05910v1 · doi: 10.48550/arxiv.1805.05910 · pith_short_12: 5MCCJ3C7ICP7 · pith_short_16: 5MCCJ3C7ICP7BYA7 · pith_short_8: 5MCCJ3C7

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/5MCCJ3C7ICP7BYA7CTZQFZS4OR \
  | 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: eb0424ec5f409ff0e01f14f302e65c747553fa42ea1a84ebab90a671d15cf24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0f3ab152cdd415a37ed57134edab850da1ad3734dad4ce2b40221216259625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-15T17:07:45Z",
    "title_canon_sha256": "7019b5e31513bac4466abd68b72323a69cfe58598633544c502637ba1f604e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05910",
    "kind": "arxiv",
    "version": 1
  }
}