Pith Number

pith:Z2D7E3J4

pith:2014:Z2D7E3J4I2EA5GN67G47P7N5PT

not attested not anchored not stored refs pending

Optimal Bounds for Convergence of Expected Spectral Distributions to the Semi-Circular Law

A. Tikhomirov, F. G\"otze

arxiv:1405.7820 v4 · 2014-05-30 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2D7E3J4I2EA5GN67G47P7N5PT}

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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	2026-05-18T01:37:28.767453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce87f26d3c46880e99bef9b9f7fdbd7cf7d9741363ddf1b5212760fdbde3972c

Aliases

arxiv: 1405.7820 · arxiv_version: 1405.7820v4 · doi: 10.48550/arxiv.1405.7820 · pith_short_12: Z2D7E3J4I2EA · pith_short_16: Z2D7E3J4I2EA5GN6 · pith_short_8: Z2D7E3J4

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/Z2D7E3J4I2EA5GN67G47P7N5PT \
  | 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: ce87f26d3c46880e99bef9b9f7fdbd7cf7d9741363ddf1b5212760fdbde3972c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce798f60038c1b5d48ade666ab36076e47e9452cdc082e4971723f0cc155133",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-30T10:49:27Z",
    "title_canon_sha256": "7cfc183cee13cc1a139487583df05e4aa404b3c0641f21bfbe46298a753c4516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7820",
    "kind": "arxiv",
    "version": 4
  }
}