Pith Number

pith:64TWGXAS

pith:2015:64TWGXAS4SRDVUYDGHOSL4NGNX

not attested not anchored not stored refs pending

The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles

Tomoyuki Shirai, Trinh Khanh Duy

arxiv:1504.06904 v1 · 2015-04-27 · math.SP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64TWGXAS4SRDVUYDGHOSL4NGNX}

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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	2026-05-18T01:16:29.772368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f727635c12e4a23ad30331dd25f1a66dc28cc227932d07808107c0611bd206b3

Aliases

arxiv: 1504.06904 · arxiv_version: 1504.06904v1 · doi: 10.48550/arxiv.1504.06904 · pith_short_12: 64TWGXAS4SRD · pith_short_16: 64TWGXAS4SRDVUYD · pith_short_8: 64TWGXAS

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/64TWGXAS4SRDVUYDGHOSL4NGNX \
  | 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: f727635c12e4a23ad30331dd25f1a66dc28cc227932d07808107c0611bd206b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0c5ffd6ed3a36266ae939ec60dae3dd0edcbc332356d3d0a83180682c1de11",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-04-27T01:32:27Z",
    "title_canon_sha256": "6ed4e7aa3ab8630a2de782bdc0b62ca8720aedd9d824564da5001f43a00e17b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06904",
    "kind": "arxiv",
    "version": 1
  }
}