Pith Number

pith:HPWUAFW5

pith:2015:HPWUAFW53CYL35CSF2S26ZTTR3

not attested not anchored not stored refs pending

Hypoelliptic multiscale Langevin diffusions: Large deviations, invariant measures and small mass asymptotics

Konstantinos Spiliopoulos, Wenqing Hu

arxiv:1506.06181 v2 · 2015-06-19 · math.PR · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPWUAFW53CYL35CSF2S26ZTTR3}

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	2026-05-18T00:50:09.921412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bed4016ddd8b0bdf4522ea5af66738ec66ca80c76ee20376921e869f3b54ea5

Aliases

arxiv: 1506.06181 · arxiv_version: 1506.06181v2 · doi: 10.48550/arxiv.1506.06181 · pith_short_12: HPWUAFW53CYL · pith_short_16: HPWUAFW53CYL35CS · pith_short_8: HPWUAFW5

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/HPWUAFW53CYL35CSF2S26ZTTR3 \
  | 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: 3bed4016ddd8b0bdf4522ea5af66738ec66ca80c76ee20376921e869f3b54ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11e5ea17bbea2fb4906354d0963491fb35e4f2bd19f16d39c36212ac5f3f050",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-19T23:35:25Z",
    "title_canon_sha256": "8a57d2ad12481ea6d003e090b8ef393a3b93dcc85aab88ef395815943d05171c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06181",
    "kind": "arxiv",
    "version": 2
  }
}