Pith Number

pith:IBPHC3IB

pith:2018:IBPHC3IBE6F5YPOL422JEUCGKE

not attested not anchored not stored refs pending

On a generalization of restricted sum formula for multiple zeta values and finite multiple zeta values

Hideki Murahara, Takuya Murakami

arxiv:1803.08751 v3 · 2018-03-23 · 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{IBPHC3IBE6F5YPOL422JEUCGKE}

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	2026-05-18T00:11:49.527335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405e716d01278bdc3dcbe6b492504651322269fd0dc1286af0c5d6e2c46a04d2

Aliases

arxiv: 1803.08751 · arxiv_version: 1803.08751v3 · doi: 10.48550/arxiv.1803.08751 · pith_short_12: IBPHC3IBE6F5 · pith_short_16: IBPHC3IBE6F5YPOL · pith_short_8: IBPHC3IB

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/IBPHC3IBE6F5YPOL422JEUCGKE \
  | 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: 405e716d01278bdc3dcbe6b492504651322269fd0dc1286af0c5d6e2c46a04d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bb7eeff42cbe9aa2e94d700bcf2314855cfdc3fc4c556b5a3d09d55a9f8c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-23T11:44:04Z",
    "title_canon_sha256": "758ad21fe56f68ad1b6447a25656a849f2b41e8a76e20a2a5c57f1e3ca75d1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08751",
    "kind": "arxiv",
    "version": 3
  }
}