Pith Number

pith:37XD3NSD

pith:2015:37XD3NSDQJCSLPEX5HQWCVJ5W2

not attested not anchored not stored refs pending

On Riemann zeroes, Lognormal Multiplicative Chaos, and Selberg Integral

Dmitry Ostrovsky

arxiv:1506.07488 v3 · 2015-06-21 · math.PR · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37XD3NSDQJCSLPEX5HQWCVJ5W2}

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	2026-05-18T01:20:46.028430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfee3db643824525bc97e9e161553db690ec6534260ef06a0e70da040cbdeacf

Aliases

arxiv: 1506.07488 · arxiv_version: 1506.07488v3 · doi: 10.48550/arxiv.1506.07488 · pith_short_12: 37XD3NSDQJCS · pith_short_16: 37XD3NSDQJCSLPEX · pith_short_8: 37XD3NSD

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/37XD3NSDQJCSLPEX5HQWCVJ5W2 \
  | 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: dfee3db643824525bc97e9e161553db690ec6534260ef06a0e70da040cbdeacf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e7c48685a3ab8546aec1a301bd2910bfc573808846ebe51bda4d6c2d1b7a38",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-21T14:34:53Z",
    "title_canon_sha256": "0134deb79a51cfa897148267686ac12203f77f5da1b8dc8de6bfaf4acfc6b732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07488",
    "kind": "arxiv",
    "version": 3
  }
}