Pith Number

pith:YD5GKNHC

pith:2026:YD5GKNHCBGPCY6KRCZ6ORSIO6U

not attested not anchored not stored refs pending

Full $\Gamma-$expansion for the level-two large deviation rate functionals of non-reversible one-dimensional diffusions with periodic boundary conditions

Christian Maura, Claudio Landim

arxiv:2606.17859 v1 · 2026-06-16 · 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{YD5GKNHCBGPCY6KRCZ6ORSIO6U}

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	2026-06-19T16:10:41.795891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0fa6534e2099e2c7951167ce8c90ef531f6d6321beaab3c4c28f1f98f30744e

Aliases

arxiv: 2606.17859 · arxiv_version: 2606.17859v1 · doi: 10.48550/arxiv.2606.17859 · pith_short_12: YD5GKNHCBGPC · pith_short_16: YD5GKNHCBGPCY6KR · pith_short_8: YD5GKNHC

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/YD5GKNHCBGPCY6KRCZ6ORSIO6U \
  | 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: c0fa6534e2099e2c7951167ce8c90ef531f6d6321beaab3c4c28f1f98f30744e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42b2ba565cb156747de910a5fe4f815c238723124719667b11a8e1f328067cb6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-16T12:32:52Z",
    "title_canon_sha256": "5f3b3a7d6bb665d0dec626664c22d96f7cce03425bc4869feb150d6bcb7c3922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17859",
    "kind": "arxiv",
    "version": 1
  }
}