Pith Number

pith:7OEIJ4LJ

pith:2013:7OEIJ4LJWG63DKMJLUR2XASU6M

not attested not anchored not stored refs pending

Sum formula for finite multiple zeta values

Noriko Wakabayashi, Shingo Saito

arxiv:1305.6529 v1 · 2013-05-28 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OEIJ4LJWG63DKMJLUR2XASU6M}

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	2026-05-18T01:35:37.204239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8884f169b1bdb1a9895d23ab8254f303e18a7494b2e07ff021cbee9195236b

Aliases

arxiv: 1305.6529 · arxiv_version: 1305.6529v1 · doi: 10.48550/arxiv.1305.6529 · pith_short_12: 7OEIJ4LJWG63 · pith_short_16: 7OEIJ4LJWG63DKMJ · pith_short_8: 7OEIJ4LJ

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/7OEIJ4LJWG63DKMJLUR2XASU6M \
  | 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: fb8884f169b1bdb1a9895d23ab8254f303e18a7494b2e07ff021cbee9195236b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defbcdc8f97308da0a80d616cbfb8d3c36d91610105b88138fc23de6eebf09fc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-28T15:22:05Z",
    "title_canon_sha256": "21c2d3e8027671bc341a7ee41f2f71a7056b7d17fa30192096272c53f773d282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6529",
    "kind": "arxiv",
    "version": 1
  }
}