Pith Number

pith:GMFQF7ML

pith:2025:GMFQF7MLU7GRJNXGWQICT2THTP

not attested not anchored not stored refs pending

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation

Efe G\"urel

arxiv:2504.14551 v1 · 2025-04-20 · 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{GMFQF7MLU7GRJNXGWQICT2THTP}

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	2026-07-05T10:51:45.509244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330b02fd8ba7cd14b6e6b41029ea679be3369f285feacbd8c072abbf4cd92ac5

Aliases

arxiv: 2504.14551 · arxiv_version: 2504.14551v1 · doi: 10.48550/arxiv.2504.14551 · pith_short_12: GMFQF7MLU7GR · pith_short_16: GMFQF7MLU7GRJNXG · pith_short_8: GMFQF7ML

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/GMFQF7MLU7GRJNXGWQICT2THTP \
  | 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: 330b02fd8ba7cd14b6e6b41029ea679be3369f285feacbd8c072abbf4cd92ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0935f2dce2114953d591624e27f0497f669ab90b3c611024a3b5c69765b96d0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-20T09:49:41Z",
    "title_canon_sha256": "b3a04492b271795f22e38042793f64ade44529681322f507252cba06931baab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14551",
    "kind": "arxiv",
    "version": 1
  }
}