Pith Number

pith:QZ5BVYJD

pith:2014:QZ5BVYJDQWRNQGKCCJ7AEVW7XI

not attested not anchored not stored refs pending

Bilateral zeta functions associated with the multiple sine functions

Genki Shibukawa

arxiv:1409.2074 v1 · 2014-09-07 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZ5BVYJDQWRNQGKCCJ7AEVW7XI}

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	2026-05-18T02:43:17.957918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867a1ae12385a2d81942127e0256dfba3d096b61558defb1b55d62655eb89c98

Aliases

arxiv: 1409.2074 · arxiv_version: 1409.2074v1 · doi: 10.48550/arxiv.1409.2074 · pith_short_12: QZ5BVYJDQWRN · pith_short_16: QZ5BVYJDQWRNQGKC · pith_short_8: QZ5BVYJD

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/QZ5BVYJDQWRNQGKCCJ7AEVW7XI \
  | 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: 867a1ae12385a2d81942127e0256dfba3d096b61558defb1b55d62655eb89c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a3b5b5c073a66f9803091aa6e67db807b75b374dd955f2fcb287e91a4205ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-07T02:38:35Z",
    "title_canon_sha256": "b0359038c1ee98a19a5d1fa9cdd0dddb73b722aae40922aabbc5dad5fe935198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2074",
    "kind": "arxiv",
    "version": 1
  }
}