Pith Number

pith:VGP6OTUM

pith:2013:VGP6OTUMSWQS6BBOVI6QHDQ5WT

not attested not anchored not stored refs pending

A note on the maximum of the Riemann zeta function, and log-correlated random variables

Adam J. Harper

arxiv:1304.0677 v1 · 2013-04-02 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGP6OTUMSWQS6BBOVI6QHDQ5WT}

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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.

Cited by

1 paper in Pith

High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos

Receipt and verification

First computed	2026-05-18T03:29:14.658622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99fe74e8c95a12f042eaa3d038e1db4dcf11c753b78661b20f95c14089551e7

Aliases

arxiv: 1304.0677 · arxiv_version: 1304.0677v1 · doi: 10.48550/arxiv.1304.0677 · pith_short_12: VGP6OTUMSWQS · pith_short_16: VGP6OTUMSWQS6BBO · pith_short_8: VGP6OTUM

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/VGP6OTUMSWQS6BBOVI6QHDQ5WT \
  | 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: a99fe74e8c95a12f042eaa3d038e1db4dcf11c753b78661b20f95c14089551e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13e91c0ba913453a13dc08691f51c44d2bc90157851d796e27c801bfe112c2d3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-02T16:05:35Z",
    "title_canon_sha256": "66816a943af0bea0befdada25b76a11c6ab32e77d516c09ab5bb83d58976cb98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0677",
    "kind": "arxiv",
    "version": 1
  }
}