Pith Number

pith:4NFMSVSL

pith:2018:4NFMSVSLO2I54GDKFEXJ7HHGTD

not attested not anchored not stored refs pending

Computing invariant sets of random differential equations using polynomial chaos

Christian Kuehn, Maxime Breden

arxiv:1812.05039 v1 · 2018-12-12 · math.DS · math.NA · 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{4NFMSVSLO2I54GDKFEXJ7HHGTD}

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	2026-05-17T23:58:26.561397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34ac9564b7691de186a292e9f9ce698f7e5836efc96598a5aa97415d7efccf6

Aliases

arxiv: 1812.05039 · arxiv_version: 1812.05039v1 · doi: 10.48550/arxiv.1812.05039 · pith_short_12: 4NFMSVSLO2I5 · pith_short_16: 4NFMSVSLO2I54GDK · pith_short_8: 4NFMSVSL

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/4NFMSVSLO2I54GDKFEXJ7HHGTD \
  | 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: e34ac9564b7691de186a292e9f9ce698f7e5836efc96598a5aa97415d7efccf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104f68054bfb2dcfcf2da479baf9162ffc0f2dfeb51e0155a3ec129f820bf119",
    "cross_cats_sorted": [
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-12T17:14:20Z",
    "title_canon_sha256": "51f7d7533a5c5ed502c3a77f4afd642d58467cd2c58432aa6f871966dc33c059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05039",
    "kind": "arxiv",
    "version": 1
  }
}