Pith Number

pith:W7UH5J3B

pith:2016:W7UH5J3B2MG2NDMQT4H23FPF4G

not attested not anchored not stored refs pending

Propagation of chaos for H\"older continuous interaction kernels via Glivenko-Cantelli

Thomas Holding

arxiv:1608.02877 v2 · 2016-08-09 · math.AP · 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{W7UH5J3B2MG2NDMQT4H23FPF4G}

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	2026-05-18T00:55:34.036903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7e87ea761d30da68d909f0fad95e5e1ba4b5033f2dfdf13e446e2339f4e893e

Aliases

arxiv: 1608.02877 · arxiv_version: 1608.02877v2 · doi: 10.48550/arxiv.1608.02877 · pith_short_12: W7UH5J3B2MG2 · pith_short_16: W7UH5J3B2MG2NDMQ · pith_short_8: W7UH5J3B

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/W7UH5J3B2MG2NDMQT4H23FPF4G \
  | 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: b7e87ea761d30da68d909f0fad95e5e1ba4b5033f2dfdf13e446e2339f4e893e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e10cb0ed516f1c579d3dcbc951b7712f9d79e80b036d0ecf95485ace817d79",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-09T17:25:22Z",
    "title_canon_sha256": "bc3f3887c33cc2483bb40e4613e468921146ab4db7a4adb1f51bfeccf400129f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02877",
    "kind": "arxiv",
    "version": 2
  }
}