Pith Number

pith:RCD2MPMN

pith:2010:RCD2MPMNPSIIUWPRERCMFFQE4L

not attested not anchored not stored refs pending

Milnor-Selberg zeta functions and zeta regularizations

Masato Wakayama, Nobushige Kurokawa, Yoshinori Yamasaki

arxiv:1011.3093 v2 · 2010-11-13 · 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{RCD2MPMNPSIIUWPRERCMFFQE4L}

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	2026-05-18T03:39:05.522729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8887a63d8d7c908a59f12444c29604e2c668dbda58dcc2246f42e073de415371

Aliases

arxiv: 1011.3093 · arxiv_version: 1011.3093v2 · doi: 10.48550/arxiv.1011.3093 · pith_short_12: RCD2MPMNPSII · pith_short_16: RCD2MPMNPSIIUWPR · pith_short_8: RCD2MPMN

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/RCD2MPMNPSIIUWPRERCMFFQE4L \
  | 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: 8887a63d8d7c908a59f12444c29604e2c668dbda58dcc2246f42e073de415371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5997ec456d5630245fc5aae3b4c23e3e6cc387acb10e986bf2eb03c1dd6e509d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-13T03:20:34Z",
    "title_canon_sha256": "0da8ed3c4c547f3d812829dbfb39e22902568a5a88c65e60dfbcd28a70b38d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3093",
    "kind": "arxiv",
    "version": 2
  }
}