Pith Number

pith:UAQ5GNMI

pith:2018:UAQ5GNMIDYLIOHAEICM2UWUV5N

not attested not anchored not stored refs pending

Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices

Natalie Coston, Sean O'Rourke

arxiv:1809.08367 v2 · 2018-09-22 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAQ5GNMIDYLIOHAEICM2UWUV5N}

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	2026-05-17T23:48:55.368567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a021d335881e16871c044099aa5a95eb4ad89f8589159c63c8f32d4b220c004e

Aliases

arxiv: 1809.08367 · arxiv_version: 1809.08367v2 · doi: 10.48550/arxiv.1809.08367 · pith_short_12: UAQ5GNMIDYLI · pith_short_16: UAQ5GNMIDYLIOHAE · pith_short_8: UAQ5GNMI

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/UAQ5GNMIDYLIOHAEICM2UWUV5N \
  | 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: a021d335881e16871c044099aa5a95eb4ad89f8589159c63c8f32d4b220c004e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc4d106da7bc84fbfe48d215b66cf2329ccb3626a2ec606c9bb66263d8bfc0cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-22T02:19:19Z",
    "title_canon_sha256": "baaf4965dff84b01a5faa2e483686163fe4865da70e47d88c4ed04239305f1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08367",
    "kind": "arxiv",
    "version": 2
  }
}