Pith Number

pith:QRPPY6WM

pith:2015:QRPPY6WMSBTMVCLJHRHMJUO5VC

not attested not anchored not stored refs pending

Functional Central Limit Theorem for Subgraph Counting Processes

Takashi Owada

arxiv:1506.00152 v4 · 2015-05-30 · 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{QRPPY6WMSBTMVCLJHRHMJUO5VC}

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	2026-05-18T01:20:59.102115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845efc7acc9066ca89693c4ec4d1dda898cfb9128641134bb2f7df69418e34bf

Aliases

arxiv: 1506.00152 · arxiv_version: 1506.00152v4 · doi: 10.48550/arxiv.1506.00152 · pith_short_12: QRPPY6WMSBTM · pith_short_16: QRPPY6WMSBTMVCLJ · pith_short_8: QRPPY6WM

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/QRPPY6WMSBTMVCLJHRHMJUO5VC \
  | 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: 845efc7acc9066ca89693c4ec4d1dda898cfb9128641134bb2f7df69418e34bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a3538a80eca7432fffedd3042c5263b2613f6eb0618f22fd0ac4a696c2bcf53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-30T18:35:27Z",
    "title_canon_sha256": "c936462250d67052244e9200d9e3979dec31a20f324e827e0cfd1f7304af9220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00152",
    "kind": "arxiv",
    "version": 4
  }
}