Pith Number

pith:IIIBQRZT

pith:2026:IIIBQRZTLGU5RVJLUK6IBURTLZ

not attested not anchored not stored refs pending

Zeros of the Dirichlet series of even zeta values

William D. Banks

arxiv:2607.20758 v1 · 2026-07-22 · 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{IIIBQRZTLGU5RVJLUK6IBURTLZ}

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	2026-07-24T00:23:32.915291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

421018473359a9d8d52ba2bc80d2335e43c2a9cae949632a1c7427daaeb0b001

Aliases

arxiv: 2607.20758 · arxiv_version: 2607.20758v1 · doi: 10.48550/arxiv.2607.20758 · pith_short_12: IIIBQRZTLGU5 · pith_short_16: IIIBQRZTLGU5RVJL · pith_short_8: IIIBQRZT

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/IIIBQRZTLGU5RVJLUK6IBURTLZ \
  | 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: 421018473359a9d8d52ba2bc80d2335e43c2a9cae949632a1c7427daaeb0b001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8b66c71869bb0846f0bf84bfb7f2b87125aca7bc59c010cbfd76f6f133624a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-22T22:19:52Z",
    "title_canon_sha256": "4f52baf5affaf98ef749405108352b1c1e0643f335e80cd670a5c278db25f5af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20758",
    "kind": "arxiv",
    "version": 1
  }
}