Pith Number

pith:SF6GCZVQ

pith:2018:SF6GCZVQ3BWCHQGXAOAPZI6RJB

not attested not anchored not stored refs pending

Mean field limits for non-Markovian interacting particles: convergence to equilibrium, GENERIC formalism, asymptotic limits and phase transitions

G. A. Pavliotis, M. H. Duong

arxiv:1805.04959 v2 · 2018-05-13 · math.AP · math-ph · math.MP · 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{SF6GCZVQ3BWCHQGXAOAPZI6RJB}

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	2026-05-18T00:14:59.214334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917c6166b0d86c23c0d70380fca3d1487046db8335519f5930a210e46f3ba395

Aliases

arxiv: 1805.04959 · arxiv_version: 1805.04959v2 · doi: 10.48550/arxiv.1805.04959 · pith_short_12: SF6GCZVQ3BWC · pith_short_16: SF6GCZVQ3BWCHQGX · pith_short_8: SF6GCZVQ

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/SF6GCZVQ3BWCHQGXAOAPZI6RJB \
  | 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: 917c6166b0d86c23c0d70380fca3d1487046db8335519f5930a210e46f3ba395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513d829da8bd640cbb957b6913e2141ce60e9936bf25c14d5dd3994919040424",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-13T21:42:58Z",
    "title_canon_sha256": "bb6fc82d6d3248fe0de0441ac9067b98124562b02c4d6f48e53838a344e9545a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04959",
    "kind": "arxiv",
    "version": 2
  }
}