Pith Number

pith:3WBC4DH6

pith:2016:3WBC4DH6NXGCAPKI2SVVBHP52N

not attested not anchored not stored refs pending

A Novel Approach for Big Data Analytics in Future Grids Based on Free Probability

Chu Lei, Robert C. Qiu, Xing He, Zenan ling

arxiv:1612.01089 v1 · 2016-12-04 · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WBC4DH6NXGCAPKI2SVVBHP52N}

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	2026-05-18T00:55:53.377275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd822e0cfe6dcc203d48d4ab509dfdd3413355c29895e1791a665522892837fa

Aliases

arxiv: 1612.01089 · arxiv_version: 1612.01089v1 · doi: 10.48550/arxiv.1612.01089 · pith_short_12: 3WBC4DH6NXGC · pith_short_16: 3WBC4DH6NXGCAPKI · pith_short_8: 3WBC4DH6

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/3WBC4DH6NXGCAPKI2SVVBHP52N \
  | 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: dd822e0cfe6dcc203d48d4ab509dfdd3413355c29895e1791a665522892837fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9af476bf102e86838f74759fbc92d034b89ef81bd8f32f2936333404d7a9e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2016-12-04T09:16:50Z",
    "title_canon_sha256": "a9dc785e28e3e8cdb1b5473d801c8f396493159a776519744d7c40cb0046d3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01089",
    "kind": "arxiv",
    "version": 1
  }
}