Pith Number

pith:5YLTH7PY

pith:2015:5YLTH7PYQAYIDS62YQXXQ5C3S4

not attested not anchored not stored refs pending

Triple mean values of Witten $L$-functions

Nobushige Kurokawa, Shin-ya Koyama

arxiv:1503.03634 v1 · 2015-03-12 · 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{5YLTH7PYQAYIDS62YQXXQ5C3S4}

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	2026-05-18T02:24:27.806948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1733fdf8803081cbdac42f78745b972c1c1ad132ca8cc70b9661053520b759

Aliases

arxiv: 1503.03634 · arxiv_version: 1503.03634v1 · doi: 10.48550/arxiv.1503.03634 · pith_short_12: 5YLTH7PYQAYI · pith_short_16: 5YLTH7PYQAYIDS62 · pith_short_8: 5YLTH7PY

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/5YLTH7PYQAYIDS62YQXXQ5C3S4 \
  | 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: ee1733fdf8803081cbdac42f78745b972c1c1ad132ca8cc70b9661053520b759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38cd2677729e48def87a689868e22de20f966917b67177df513ffdff8ec448e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-12T09:05:09Z",
    "title_canon_sha256": "e67c9c9ffc65fc269c1d31cc92de443fd2f8ca0e7ad0cab8cc6e19ac3fd8375c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03634",
    "kind": "arxiv",
    "version": 1
  }
}