Pith Number

pith:YYV7IVUU

pith:2023:YYV7IVUUVZNXTP26WYAXMJAZD5

not attested not anchored not stored refs pending

A dichotomy for extreme values of zeta and Dirichlet L-functions

Andriy Bondarenko, Kristian Seip, Markus Val{\aa}s Hagen, Pranendu Darbar, Winston Heap

arxiv:2302.08285 v1 · 2023-02-16 · 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{YYV7IVUUVZNXTP26WYAXMJAZD5}

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	2026-07-05T07:33:49.375826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62bf45694ae5b79bf5eb6017624191f6434e64b182f2ff1a4dbad77a0066e5c

Aliases

arxiv: 2302.08285 · arxiv_version: 2302.08285v1 · doi: 10.48550/arxiv.2302.08285 · pith_short_12: YYV7IVUUVZNX · pith_short_16: YYV7IVUUVZNXTP26 · pith_short_8: YYV7IVUU

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/YYV7IVUUVZNXTP26WYAXMJAZD5 \
  | 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: c62bf45694ae5b79bf5eb6017624191f6434e64b182f2ff1a4dbad77a0066e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20af6096bea707d6fab838bb0bf45e39ff8b873e3ce543e6c6ee554493c7c7d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-16T13:30:53Z",
    "title_canon_sha256": "7e6e2f3b0303e44478c419f9499e7dbcfe764577907415e6d4b8b7227fc63a48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08285",
    "kind": "arxiv",
    "version": 1
  }
}