Pith Number

pith:RLOMI5PT

pith:2011:RLOMI5PTHUHH3AHPTZX6W2XT43

not attested not anchored not stored refs pending

Shintani's zeta function is not a finite sum of Euler products

Frank Thorne

arxiv:1112.1397 v3 · 2011-12-06 · 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{RLOMI5PTHUHH3AHPTZX6W2XT43}

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	2026-05-18T03:41:10.959777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8adcc475f33d0e7d80ef9e6feb6af3e6edd8e8da9238ebb4bbc8a68767cb770c

Aliases

arxiv: 1112.1397 · arxiv_version: 1112.1397v3 · doi: 10.48550/arxiv.1112.1397 · pith_short_12: RLOMI5PTHUHH · pith_short_16: RLOMI5PTHUHH3AHP · pith_short_8: RLOMI5PT

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/RLOMI5PTHUHH3AHPTZX6W2XT43 \
  | 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: 8adcc475f33d0e7d80ef9e6feb6af3e6edd8e8da9238ebb4bbc8a68767cb770c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785c2e154e996747ac88a0d2f33d7f505f92590879ebee9b5396791497d6f6f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-06T20:26:35Z",
    "title_canon_sha256": "20134a29c23ebd45c88d911d0a5e93b5e92f5ec0bc6717c256e0e376733ad903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1397",
    "kind": "arxiv",
    "version": 3
  }
}