Pith Number

pith:QYIL3NIR

pith:2019:QYIL3NIRRCZ7JOHHT6CRDAAOA3

not attested not anchored not stored refs pending

Yamamoto's interpolation of finite multiple zeta and zeta-star values

Hideki Murahara, Masataka Ono

arxiv:1908.09307 v3 · 2019-08-25 · 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{QYIL3NIRRCZ7JOHHT6CRDAAOA3}

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	2026-07-05T01:29:00.610227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8610bdb51188b3f4b8e79f8511800e06c751cbb9e3099a17261b3a4ee50db81a

Aliases

arxiv: 1908.09307 · arxiv_version: 1908.09307v3 · doi: 10.48550/arxiv.1908.09307 · pith_short_12: QYIL3NIRRCZ7 · pith_short_16: QYIL3NIRRCZ7JOHH · pith_short_8: QYIL3NIR

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/QYIL3NIRRCZ7JOHHT6CRDAAOA3 \
  | 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: 8610bdb51188b3f4b8e79f8511800e06c751cbb9e3099a17261b3a4ee50db81a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddea223c52fd64a9b1925f9b5eb96376385793cd83c56b45188ddf86b16f7c63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-25T11:51:39Z",
    "title_canon_sha256": "c3bbc1a9396a081e4300262fe85fe9e2b56c553ff26ef682a09f4e143ec3b085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09307",
    "kind": "arxiv",
    "version": 3
  }
}