Pith Number

pith:2QU3IJJN

pith:2026:2QU3IJJNHGPX2ZJHGVHJQCDFM4

not attested not anchored not stored refs pending

Mean Field Limits for Stochastic, Underdamped Reactive Langevin Dynamics Models

Konstantinos Spiliopoulos, Qianhan Liu, Samuel A Isaacson

arxiv:2606.03079 v1 · 2026-06-02 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QU3IJJNHGPX2ZJHGVHJQCDFM4}

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	2026-06-03T01:05:31.070897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d429b4252d399f7d6527354e980865670f2f6fdcaae7c58bf46be2d9759c49c3

Aliases

arxiv: 2606.03079 · arxiv_version: 2606.03079v1 · doi: 10.48550/arxiv.2606.03079 · pith_short_12: 2QU3IJJNHGPX · pith_short_16: 2QU3IJJNHGPX2ZJH · pith_short_8: 2QU3IJJN

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/2QU3IJJNHGPX2ZJHGVHJQCDFM4 \
  | 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: d429b4252d399f7d6527354e980865670f2f6fdcaae7c58bf46be2d9759c49c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce36ced41c8f962f633e8ef5e926c48b74a28640a65001ad27b5322e36c88a32",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-02T03:10:16Z",
    "title_canon_sha256": "9db1e3cf710986582de59bbb4074ca731ff8ac5dcde74317dd117a2156695e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03079",
    "kind": "arxiv",
    "version": 1
  }
}