Pith Number

pith:PBJAGHTD

pith:2023:PBJAGHTD6TGAGHHXYX3U3PH2I5

not attested not anchored not stored refs pending

Extreme central values of quadratic Dirichlet $L$-functions with prime conductors

Mingyue Fan, Shenghao Hua, Sizhe Xie

arxiv:2306.16886 v2 · 2023-06-29 · 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{PBJAGHTD6TGAGHHXYX3U3PH2I5}

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	2026-06-19T16:11:07.639885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7852031e63f4cc031cf7c5f74dbcfa47450a37fd6165901f445a92d38fd59e42

Aliases

arxiv: 2306.16886 · arxiv_version: 2306.16886v2 · doi: 10.48550/arxiv.2306.16886 · pith_short_12: PBJAGHTD6TGA · pith_short_16: PBJAGHTD6TGAGHHX · pith_short_8: PBJAGHTD

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/PBJAGHTD6TGAGHHXYX3U3PH2I5 \
  | 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: 7852031e63f4cc031cf7c5f74dbcfa47450a37fd6165901f445a92d38fd59e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1cfdb63a2ef90cc61b320684c38a0f201454d7ca9714cfe0e22a2a016cb4631",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-29T12:17:47Z",
    "title_canon_sha256": "543d1736e0da813e28865bba1cb0ce5a82084c076263a2cb59fde3d6dea8fd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.16886",
    "kind": "arxiv",
    "version": 2
  }
}