Pith Number

pith:QM2OPVHT

pith:2016:QM2OPVHTUGPT45ZNQ4KXWCGCVP

not attested not anchored not stored refs pending

Generalized rational zeta series for $\zeta(2n)$ and $\zeta(2n+1)$

Derek Orr

arxiv:1606.04850 v4 · 2016-06-15 · 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{QM2OPVHTUGPT45ZNQ4KXWCGCVP}

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	2026-05-18T00:07:28.588860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8334e7d4f3a19f3e772d87157b08c2abfa2695c1f64be5eab53a7aefd0c2c2dd

Aliases

arxiv: 1606.04850 · arxiv_version: 1606.04850v4 · doi: 10.48550/arxiv.1606.04850 · pith_short_12: QM2OPVHTUGPT · pith_short_16: QM2OPVHTUGPT45ZN · pith_short_8: QM2OPVHT

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/QM2OPVHTUGPT45ZNQ4KXWCGCVP \
  | 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: 8334e7d4f3a19f3e772d87157b08c2abfa2695c1f64be5eab53a7aefd0c2c2dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8fdcdba3b16f421ce05ea441045ddb3233a836947c97cd31130abcc4311e91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-15T16:39:18Z",
    "title_canon_sha256": "c1488e9192d228c6c139d58fbf85690cd9c93565aba40fef6f890e48656da14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04850",
    "kind": "arxiv",
    "version": 4
  }
}