Pith Number

pith:3EPSDWOW

pith:2017:3EPSDWOWRK5OOEX4IWCRWZNQMB

not attested not anchored not stored refs pending

Smooth invariant densities for random switching on the torus

Jonathan C. Mattingly, Sean D. Lawley, Tobias Hurth, Yuri Bakhtin

arxiv:1708.01390 v2 · 2017-08-04 · math.DS · 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{3EPSDWOWRK5OOEX4IWCRWZNQMB}

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	2026-05-18T00:20:30.198500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91f21d9d68abae712fc45851b65b060465e4271ca4ebbae1d0881cc2a7ea130

Aliases

arxiv: 1708.01390 · arxiv_version: 1708.01390v2 · doi: 10.48550/arxiv.1708.01390 · pith_short_12: 3EPSDWOWRK5O · pith_short_16: 3EPSDWOWRK5OOEX4 · pith_short_8: 3EPSDWOW

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/3EPSDWOWRK5OOEX4IWCRWZNQMB \
  | 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: d91f21d9d68abae712fc45851b65b060465e4271ca4ebbae1d0881cc2a7ea130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e3b1c480befc52f4b6d7a443d1ef8b73b6b7ffda172e47968834dfe413965e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-04T06:23:58Z",
    "title_canon_sha256": "3537954d04044e700dcf8957df4d1c5df74f9ec6861f2eb9727df70961e60cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01390",
    "kind": "arxiv",
    "version": 2
  }
}