Pith Number

pith:VQDPS4RS

pith:2024:VQDPS4RSSM2ZFIS7JN6M6K2DH5

not attested not anchored not stored refs pending

Sharp conditional moment bounds for products of $L$-functions

Markus Val{\aa}s Hagen

arxiv:2409.19780 v1 · 2024-09-29 · 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{VQDPS4RSSM2ZFIS7JN6M6K2DH5}

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	2026-07-05T09:13:22.413096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac06f97232933592a25f4b7ccf2b433f773f696fd359134ce2dfcf73db28f055

Aliases

arxiv: 2409.19780 · arxiv_version: 2409.19780v1 · doi: 10.48550/arxiv.2409.19780 · pith_short_12: VQDPS4RSSM2Z · pith_short_16: VQDPS4RSSM2ZFIS7 · pith_short_8: VQDPS4RS

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/VQDPS4RSSM2ZFIS7JN6M6K2DH5 \
  | 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: ac06f97232933592a25f4b7ccf2b433f773f696fd359134ce2dfcf73db28f055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8207859cad9849c9c038c196b995f2299ac45ad7cfdfba9e4c174ea8a7a62fbe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-29T21:02:35Z",
    "title_canon_sha256": "2407696242e7fd7ebc5530d643956d4162c00689e643bb1326343045752cba3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.19780",
    "kind": "arxiv",
    "version": 1
  }
}