Pith Number

pith:DPZGI5MS

pith:2024:DPZGI5MSH4WM3LM6GDR64UBG4W

not attested not anchored not stored refs pending

Ergodicity and mixing for locally monotone stochastic evolution equations

Gerardo Barrera, Jonas M. T\"olle

arxiv:2412.01381 v5 · 2024-12-02 · math.PR · math.AP · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPZGI5MSH4WM3LM6GDR64UBG4W}

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	2026-05-21T02:04:47.143805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf26475923f2ccdad9e30e3ee5026e58651e0e9ae10cb4f42cf5fba2e61a969

Aliases

arxiv: 2412.01381 · arxiv_version: 2412.01381v5 · doi: 10.48550/arxiv.2412.01381 · pith_short_12: DPZGI5MSH4WM · pith_short_16: DPZGI5MSH4WM3LM6 · pith_short_8: DPZGI5MS

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/DPZGI5MSH4WM3LM6GDR64UBG4W \
  | 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: 1bf26475923f2ccdad9e30e3ee5026e58651e0e9ae10cb4f42cf5fba2e61a969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "495c891ad921944ef498e87a4a9513c57b2370a3f6c37ba7d6241c01dab22ba3",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-02T11:08:57Z",
    "title_canon_sha256": "41cef63b9dba1ce695a6e64b268dd3c0902b0803619c50b4d9ac9460658081db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01381",
    "kind": "arxiv",
    "version": 5
  }
}