Pith Number

pith:3KL3CRUE

pith:2015:3KL3CRUEDL7XZ3YNFUBCWPHHWR

not attested not anchored not stored refs pending

Analytic properties of generalized Mordell-Tornheim type of multiple zeta-functions and L-functions

Takashi Miyagawa

arxiv:1512.06045 v1 · 2015-12-18 · 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{3KL3CRUEDL7XZ3YNFUBCWPHHWR}

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	2026-05-18T00:46:55.883989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da97b146841aff7cef0d2d022b3ce7b4748f52118a98fc708a9efdcb0453b212

Aliases

arxiv: 1512.06045 · arxiv_version: 1512.06045v1 · doi: 10.48550/arxiv.1512.06045 · pith_short_12: 3KL3CRUEDL7X · pith_short_16: 3KL3CRUEDL7XZ3YN · pith_short_8: 3KL3CRUE

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/3KL3CRUEDL7XZ3YNFUBCWPHHWR \
  | 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: da97b146841aff7cef0d2d022b3ce7b4748f52118a98fc708a9efdcb0453b212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8807e8be0b11364df9c46bc9758c8edc01cd83d14d0f21490f1a3ef677b732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-18T17:23:27Z",
    "title_canon_sha256": "1345da56905c1594127a692c3443f1210a9a9a1f7ecf28c6b2d4b2f0ea3fc1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06045",
    "kind": "arxiv",
    "version": 1
  }
}