Pith Number

pith:BBIP4X4F

pith:2025:BBIP4X4F3IU2CEYHJYRXFEJS2H

not attested not anchored not stored refs pending

Long-time reverse transportation inequalities for non-globally-dissipative Langevin dynamics

Jianfeng Lu, Yuliang Wang

arxiv:2512.18598 v2 · 2025-12-21 · 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{BBIP4X4F3IU2CEYHJYRXFEJS2H}

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	2026-05-25T02:01:11.184424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0850fe5f85da29a113074e23729132d1cd609f752515ddf229968ea90889d2a7

Aliases

arxiv: 2512.18598 · arxiv_version: 2512.18598v2 · doi: 10.48550/arxiv.2512.18598 · pith_short_12: BBIP4X4F3IU2 · pith_short_16: BBIP4X4F3IU2CEYH · pith_short_8: BBIP4X4F

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/BBIP4X4F3IU2CEYHJYRXFEJS2H \
  | 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: 0850fe5f85da29a113074e23729132d1cd609f752515ddf229968ea90889d2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea8d59c8e434b4a5efe02067dd27b60bb4fd98f380958aa3860ba6d97614c7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-12-21T05:10:01Z",
    "title_canon_sha256": "f7e6b2672fd661c0bee815db75ac1c61676e1c6794d36a2552e9859370fffe27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18598",
    "kind": "arxiv",
    "version": 2
  }
}