Pith Number

pith:6D5ZM6B2

pith:2025:6D5ZM6B2Q3TLWC7TQDYISBX4H3

not attested not anchored not stored refs pending

First moment of quadratic Dirichlet $L$-functions with secondary terms

Martin \v{C}ech

arxiv:2509.03197 v2 · 2025-09-03 · 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{6D5ZM6B2Q3TLWC7TQDYISBX4H3}

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	2026-07-05T12:06:49.644508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0fb96783a86e6bb0bf380f08906fc3eef59558aad7bfec2f07b524e167758bb

Aliases

arxiv: 2509.03197 · arxiv_version: 2509.03197v2 · doi: 10.48550/arxiv.2509.03197 · pith_short_12: 6D5ZM6B2Q3TL · pith_short_16: 6D5ZM6B2Q3TLWC7T · pith_short_8: 6D5ZM6B2

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/6D5ZM6B2Q3TLWC7TQDYISBX4H3 \
  | 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: f0fb96783a86e6bb0bf380f08906fc3eef59558aad7bfec2f07b524e167758bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577b760b6e69b30ce6b219a0632876b0d2c8cd8eac9d7b7b5b2e0b208e7ff013",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-03T10:33:50Z",
    "title_canon_sha256": "82e9716ee0d026e8d03ce4e0a996484e78e988ebefb4ec9f9bff0b0bf5688c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03197",
    "kind": "arxiv",
    "version": 2
  }
}