Pith Number

pith:3UAX5OSR

pith:2019:3UAX5OSRPBTTUAQV5NCHMSPKQ6

not attested not anchored not stored refs pending

Large Oscillations of the Argument of the Riemann Zeta-function

Andr\'es Chirre, Kamalakshya Mahatab

arxiv:1904.11051 v4 · 2019-04-24 · 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{3UAX5OSRPBTTUAQV5NCHMSPKQ6}

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	2026-07-05T02:44:46.737775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd017eba5178673a0215eb447649ea8780c9f4b40fa570ae46896c2bb0a74d65

Aliases

arxiv: 1904.11051 · arxiv_version: 1904.11051v4 · doi: 10.48550/arxiv.1904.11051 · pith_short_12: 3UAX5OSRPBTT · pith_short_16: 3UAX5OSRPBTTUAQV · pith_short_8: 3UAX5OSR

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/3UAX5OSRPBTTUAQV5NCHMSPKQ6 \
  | 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: dd017eba5178673a0215eb447649ea8780c9f4b40fa570ae46896c2bb0a74d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09b181ca6d11e2e8141842917e260afaa11fbbb65ac83d829e0ca1179cd28ed9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-24T20:16:43Z",
    "title_canon_sha256": "9c2bf474932fe9aefee570499bbe82b9defc454a656b93ba3d08902d8d394c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11051",
    "kind": "arxiv",
    "version": 4
  }
}