Pith Number

pith:JLT7DYCW

pith:2021:JLT7DYCW3BQXEKUPCXU2JWFG4H

not attested not anchored not stored refs pending

Scaling Limit of Moderately Interacting Particle Systems with Singular Interaction and Environmental Noise

Dejun Luo, Shuchen Guo

arxiv:2107.03616 v4 · 2021-07-08 · 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{JLT7DYCW3BQXEKUPCXU2JWFG4H}

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	2026-07-05T06:06:51.883236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae7f1e056d861722a8f15e9a4d8a6e1d5b9ded5238ef2f616a9bcb825a2c9f2

Aliases

arxiv: 2107.03616 · arxiv_version: 2107.03616v4 · doi: 10.48550/arxiv.2107.03616 · pith_short_12: JLT7DYCW3BQX · pith_short_16: JLT7DYCW3BQXEKUP · pith_short_8: JLT7DYCW

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/JLT7DYCW3BQXEKUPCXU2JWFG4H \
  | 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: 4ae7f1e056d861722a8f15e9a4d8a6e1d5b9ded5238ef2f616a9bcb825a2c9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46b16359d2ac6741cc794237dcba6848dd24d582b341e7c3cc3a54e3704d08a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-07-08T05:36:11Z",
    "title_canon_sha256": "1052f98caf39cafb3fdeb2f778f9473744431b74a14537e5c45dd22eaaef6974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03616",
    "kind": "arxiv",
    "version": 4
  }
}