Pith Number

pith:UPYVQRF4

pith:2026:UPYVQRF4IRIMZ2BKKQUEKDBOC3

not attested not anchored not stored refs pending

Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem

Alexandra Florea, Hung M. Bui, Micah B. Milinovich

arxiv:2607.21532 v1 · 2026-07-23 · 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{UPYVQRF4IRIMZ2BKKQUEKDBOC3}

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	2026-07-24T01:24:38.076106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f15844bc4450cce82a5428450c2e16c137c49fc159dc3dbbb6c7405d71f199

Aliases

arxiv: 2607.21532 · arxiv_version: 2607.21532v1 · doi: 10.48550/arxiv.2607.21532 · pith_short_12: UPYVQRF4IRIM · pith_short_16: UPYVQRF4IRIMZ2BK · pith_short_8: UPYVQRF4

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/UPYVQRF4IRIMZ2BKKQUEKDBOC3 \
  | 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: a3f15844bc4450cce82a5428450c2e16c137c49fc159dc3dbbb6c7405d71f199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b500d953e196af9e5c871fc71333709c44db5b7c1609d6264ff3fcd2b353db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-23T17:19:14Z",
    "title_canon_sha256": "f6353c11bfd211fa2347356416feff15c7cb14034f91e2708e1ee47a33f2a4e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21532",
    "kind": "arxiv",
    "version": 1
  }
}