Pith Number

pith:TX7DSXDP

pith:2025:TX7DSXDPYYWLPQ5MYW2ACBKSSK

not attested not anchored not stored refs pending

Low-lying zeros in families of Maass form L-functions: an extended density theorem

Anders S\"odergren, Daniel Fiorilli, Kaisa Matom\"aki, Lucile Devin, Martin \v{C}ech

arxiv:2505.18712 v1 · 2025-05-24 · 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{TX7DSXDPYYWLPQ5MYW2ACBKSSK}

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	2026-07-05T11:09:18.347310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dfe395c6fc62cb7c3acc5b4010552928e06425b42f36f7b88fbe49b3a32b536

Aliases

arxiv: 2505.18712 · arxiv_version: 2505.18712v1 · doi: 10.48550/arxiv.2505.18712 · pith_short_12: TX7DSXDPYYWL · pith_short_16: TX7DSXDPYYWLPQ5M · pith_short_8: TX7DSXDP

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/TX7DSXDPYYWLPQ5MYW2ACBKSSK \
  | 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: 9dfe395c6fc62cb7c3acc5b4010552928e06425b42f36f7b88fbe49b3a32b536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d7533212943e37e2652f11a89070db59e19ff9d1efac0e6472bd2ab52e19aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-24T14:23:43Z",
    "title_canon_sha256": "26847e2fad00f1c9652a14172eabcd7662381e98bfab18e85b68d618c7b8badf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18712",
    "kind": "arxiv",
    "version": 1
  }
}