Pith Number

pith:JPT5OOZK

pith:2026:JPT5OOZKMAIWCRLR3OEP4YMETJ

not attested not anchored not stored refs pending

On the series expansion of the secondary zeta function about $s=1$ and its coefficients

Artur Kawalec

arxiv:2603.21555 v2 · 2026-03-23 · 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{JPT5OOZKMAIWCRLR3OEP4YMETJ}

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	2026-07-14T01:20:56.857496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be7d73b2a6011614571db88fe61849a5b2960427243b29765d6aab08a9a70ff

Aliases

arxiv: 2603.21555 · arxiv_version: 2603.21555v2 · doi: 10.48550/arxiv.2603.21555 · pith_short_12: JPT5OOZKMAIW · pith_short_16: JPT5OOZKMAIWCRLR · pith_short_8: JPT5OOZK

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/JPT5OOZKMAIWCRLR3OEP4YMETJ \
  | 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: 4be7d73b2a6011614571db88fe61849a5b2960427243b29765d6aab08a9a70ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689fc26ab3bf400f9c0e236fa2865e1b6a77732eec4a0b823c7b015a5802ff70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-03-23T04:18:54Z",
    "title_canon_sha256": "7c7b55b36b7e416e63a6b45054c183f3181148dbcf2576e4e39fd510b3abb9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21555",
    "kind": "arxiv",
    "version": 2
  }
}