Pith Number

pith:ZN6F2U5S

pith:2019:ZN6F2U5SMJG5LBCBHPFCICISBD

not attested not anchored not stored refs pending

On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture

Adam J. Harper

arxiv:1906.05783 v1 · 2019-06-13 · 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{ZN6F2U5SMJG5LBCBHPFCICISBD}

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.

Cited by

1 paper in Pith

Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function

Receipt and verification

First computed	2026-05-17T23:43:24.405096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7c5d53b2624dd584413bca24091208f3d083664bbeab89de2587bd7f0eebba

Aliases

arxiv: 1906.05783 · arxiv_version: 1906.05783v1 · doi: 10.48550/arxiv.1906.05783 · pith_short_12: ZN6F2U5SMJG5 · pith_short_16: ZN6F2U5SMJG5LBCB · pith_short_8: ZN6F2U5S

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/ZN6F2U5SMJG5LBCBHPFCICISBD \
  | 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: cb7c5d53b2624dd584413bca24091208f3d083664bbeab89de2587bd7f0eebba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08de2772e41259c820d3fc456913ff5d6db3d0ad5c990dbdff42f7f50cdf24e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-13T16:17:07Z",
    "title_canon_sha256": "144644ad5ac662062b6a7d50c90f88bffe4984ceb536d5342f67c2a715784750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05783",
    "kind": "arxiv",
    "version": 1
  }
}