Pith Number

pith:UH237A5W

pith:2013:UH237A5WMNQEIVXNTQRRF3LXKV

not attested not anchored not stored refs pending

Restricted sum formula and derivation relation for multiple zeta values

Tatsushi Tanaka

arxiv:1303.0398 v1 · 2013-03-02 · 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{UH237A5WMNQEIVXNTQRRF3LXKV}

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	2026-05-18T03:31:56.210829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f5bf83b663604456ed9c2312ed77555ce3c73867a831cd38da5c07cb5d7fe3

Aliases

arxiv: 1303.0398 · arxiv_version: 1303.0398v1 · doi: 10.48550/arxiv.1303.0398 · pith_short_12: UH237A5WMNQE · pith_short_16: UH237A5WMNQEIVXN · pith_short_8: UH237A5W

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/UH237A5WMNQEIVXNTQRRF3LXKV \
  | 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: a1f5bf83b663604456ed9c2312ed77555ce3c73867a831cd38da5c07cb5d7fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbe7d6d6291ef55c1665b92c2b0010ed7e91d30897c592595cf94b970d98079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-02T16:23:00Z",
    "title_canon_sha256": "9eb75c2337ad0008e18799110c59ce177b096a2d80a3e94bc4014fb8ce3b82af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0398",
    "kind": "arxiv",
    "version": 1
  }
}