Pith Number

pith:BEXR2BCA

pith:2019:BEXR2BCAAJIXSET3TADE46EY55

not attested not anchored not stored refs pending

Random Tensors and their Normal Distributions

Changqing Xu, Kaijie Xu

arxiv:1908.01131 v3 · 2019-08-03 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEXR2BCAAJIXSET3TADE46EY55}

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	2026-07-05T05:23:27.652096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092f1d0440025179127b98064e7898ef404fae1d9c7b5619343cbc246bb3fb07

Aliases

arxiv: 1908.01131 · arxiv_version: 1908.01131v3 · doi: 10.48550/arxiv.1908.01131 · pith_short_12: BEXR2BCAAJIX · pith_short_16: BEXR2BCAAJIXSET3 · pith_short_8: BEXR2BCA

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/BEXR2BCAAJIXSET3TADE46EY55 \
  | 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: 092f1d0440025179127b98064e7898ef404fae1d9c7b5619343cbc246bb3fb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44369f99bfa94b44d3db0734a58a58862b4ce3ccfa642c90df87aa209149ad11",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-08-03T07:58:19Z",
    "title_canon_sha256": "b9c0ba5c1f167ca71fe83f7d041f1fcb63c1b46349bb29d14fb3407fb6b31b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01131",
    "kind": "arxiv",
    "version": 3
  }
}