Pith Number

pith:P7NJLIXD

pith:2016:P7NJLIXD6IF3ZIMOO4ADD4J2C6

not attested not anchored not stored refs pending

Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools

Eric Vanden-Eijnden, Tobias Grafke, Tobias Schaefer

arxiv:1604.03818 v4 · 2016-04-13 · math.NA · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7NJLIXD6IF3ZIMOO4ADD4J2C6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:33:23.791284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fda95a2e3f20bbca18e770031f13a17bcdd7bc7f00f47615394cbc99f2ffee6

Aliases

arxiv: 1604.03818 · arxiv_version: 1604.03818v4 · doi: 10.48550/arxiv.1604.03818 · pith_short_12: P7NJLIXD6IF3 · pith_short_16: P7NJLIXD6IF3ZIMO · pith_short_8: P7NJLIXD

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/P7NJLIXD6IF3ZIMOO4ADD4J2C6 \
  | 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: 7fda95a2e3f20bbca18e770031f13a17bcdd7bc7f00f47615394cbc99f2ffee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f30e2167e1cf45df4988c40bf3b609f1d881b332d5306d255553b77bf065e09",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-13T15:05:37Z",
    "title_canon_sha256": "68506870ca970ed775d75e569b628daf6abfab17ca1945a915f707387ace4829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03818",
    "kind": "arxiv",
    "version": 4
  }
}