Pith Number

pith:YQ2YW56G

pith:2021:YQ2YW56G3CEMOWYCL2KRYAKH2D

not attested not anchored not stored refs pending

Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions

Daniel Lacker

arxiv:2105.02983 v2 · 2021-05-06 · 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{YQ2YW56G3CEMOWYCL2KRYAKH2D}

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.

Cited by

1 paper in Pith

A Shared Observation Shields Collective Fluctuations while Preserving Local Independence

Receipt and verification

First computed	2026-07-05T06:15:10.852387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4358b77c6d888c75b025e951c0147d0ec17d2338b02bcfbb85fe660675f341a

Aliases

arxiv: 2105.02983 · arxiv_version: 2105.02983v2 · doi: 10.48550/arxiv.2105.02983 · pith_short_12: YQ2YW56G3CEM · pith_short_16: YQ2YW56G3CEMOWYC · pith_short_8: YQ2YW56G

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/YQ2YW56G3CEMOWYCL2KRYAKH2D \
  | 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: c4358b77c6d888c75b025e951c0147d0ec17d2338b02bcfbb85fe660675f341a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a11202bef2f2bfaea4da1fa7e4c894bde9ba5db7ccba3cd0240e11e41b226a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-06T21:54:46Z",
    "title_canon_sha256": "cbed5fb340d1528aaf924c3356ca3b84bc85143a945ad9c842dca71ebea4db37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02983",
    "kind": "arxiv",
    "version": 2
  }
}