Pith Number

pith:5MNUZUPX

pith:2016:5MNUZUPXT7ULJLJSEHNWAEAK3Y

not attested not anchored not stored refs pending

Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points

Isao Wakabayashi, Kohji Matsumoto, Tomokazu Onozuka

arxiv:1601.05918 v1 · 2016-01-22 · 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{5MNUZUPXT7ULJLJSEHNWAEAK3Y}

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	2026-05-18T01:22:09.795041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1b4cd1f79fe8b4ad3221db60100ade3d54966648b80d9818503d26b89b0c14

Aliases

arxiv: 1601.05918 · arxiv_version: 1601.05918v1 · doi: 10.48550/arxiv.1601.05918 · pith_short_12: 5MNUZUPXT7UL · pith_short_16: 5MNUZUPXT7ULJLJS · pith_short_8: 5MNUZUPX

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/5MNUZUPXT7ULJLJSEHNWAEAK3Y \
  | 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: eb1b4cd1f79fe8b4ad3221db60100ade3d54966648b80d9818503d26b89b0c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22bc39ed8e8f8ca9b76a22889158cae04facea3c3da0b4895899df1fb728b9a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-22T09:25:54Z",
    "title_canon_sha256": "acd13db313dcfe3d3cd8bbf7c5c91f2788e4faacb0cd67332328c42621fd6643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05918",
    "kind": "arxiv",
    "version": 1
  }
}