Pith Number

pith:6YP2LWBH

pith:2012:6YP2LWBHLYME5L3TZDBFTZ7WCU

not attested not anchored not stored refs pending

Invariant densities for dynamical systems with random switching

Tobias Hurth, Yuri Bakhtin

arxiv:1203.5744 v2 · 2012-03-26 · 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{6YP2LWBHLYME5L3TZDBFTZ7WCU}

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	2026-05-18T00:00:09.711202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61fa5d8275e184eaf73c8c259e7f6153fbb8702ddbab9890a16fe6bc1694c4a

Aliases

arxiv: 1203.5744 · arxiv_version: 1203.5744v2 · doi: 10.48550/arxiv.1203.5744 · pith_short_12: 6YP2LWBHLYME · pith_short_16: 6YP2LWBHLYME5L3T · pith_short_8: 6YP2LWBH

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/6YP2LWBHLYME5L3TZDBFTZ7WCU \
  | 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: f61fa5d8275e184eaf73c8c259e7f6153fbb8702ddbab9890a16fe6bc1694c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce5d8b76c9019960035f75f9ca2cfa0be7069d46303647b87dba7125718b034c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-26T17:48:46Z",
    "title_canon_sha256": "0b907881d67abeaacfbccb6da6c2aab0eeeabdb7e49aeda19ffcd9f9dfefc97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5744",
    "kind": "arxiv",
    "version": 2
  }
}