Pith Number

pith:3LPMTCDE

pith:2016:3LPMTCDEO63K3FUJ7FJT37KHRI

not attested not anchored not stored refs pending

Propagation of chaos for a class of first order models with singular mean field interactions

Magnus \"Onnheim, Robert J. Berman

arxiv:1610.04327 v1 · 2016-10-14 · math-ph · math.FA · 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{3LPMTCDEO63K3FUJ7FJT37KHRI}

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	2026-05-18T01:02:15.604975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dadec9886477b6ad9689f9533dfd478a1328b038d87aa2d42f66171a31c8c5a9

Aliases

arxiv: 1610.04327 · arxiv_version: 1610.04327v1 · doi: 10.48550/arxiv.1610.04327 · pith_short_12: 3LPMTCDEO63K · pith_short_16: 3LPMTCDEO63K3FUJ · pith_short_8: 3LPMTCDE

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/3LPMTCDEO63K3FUJ7FJT37KHRI \
  | 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: dadec9886477b6ad9689f9533dfd478a1328b038d87aa2d42f66171a31c8c5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8397534a2779a4553d85604df34f34500a508c1085e4ae1409cb4536796bd5",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-14T04:37:59Z",
    "title_canon_sha256": "65e5f95af58ae7788c39e2e5d16716b83e7178f91dd6d2fe90f8da507ddda764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04327",
    "kind": "arxiv",
    "version": 1
  }
}