Pith Number

pith:H7L5VYAU

pith:2024:H7L5VYAUZ4SXE5ZNAGFLYG73YK

not attested not anchored not stored refs pending

Quotients of $L$-functions: degrees $n$ and $n-2$

Ravi Raghunathan

arxiv:2403.13895 v1 · 2024-03-20 · 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{H7L5VYAUZ4SXE5ZNAGFLYG73YK}

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	2026-07-05T07:58:51.589711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fd7dae014cf2572772d018abc1bfbc2b0a15479f4121dacf716540d65971d4c

Aliases

arxiv: 2403.13895 · arxiv_version: 2403.13895v1 · doi: 10.48550/arxiv.2403.13895 · pith_short_12: H7L5VYAUZ4SX · pith_short_16: H7L5VYAUZ4SXE5ZN · pith_short_8: H7L5VYAU

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/H7L5VYAUZ4SXE5ZNAGFLYG73YK \
  | 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: 3fd7dae014cf2572772d018abc1bfbc2b0a15479f4121dacf716540d65971d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc36c384d2989f9fcc077bcc8c9609587e21cb1e12e09d11d299c2f14f6396e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-20T18:06:37Z",
    "title_canon_sha256": "4dae7a764177b91b819267d327a19cdf4478ed484a6f65218eaca96deae217a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.13895",
    "kind": "arxiv",
    "version": 1
  }
}