Pith Number

pith:BW25XI3V

pith:2015:BW25XI3V2VKZKUAUODE5EKRCYG

not attested not anchored not stored refs pending

Fast converging series for zeta numbers in terms of polynomial representations of Bernoulli numbers

D. Romberger, H. J. Bentz, J. Braun

arxiv:1503.04636 v2 · 2015-03-16 · 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{BW25XI3V2VKZKUAUODE5EKRCYG}

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	2026-05-18T01:34:34.967479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db5dba375d55595501470c9d22a22c1bb5fb64c32140963e4e2be4e81ba5eab

Aliases

arxiv: 1503.04636 · arxiv_version: 1503.04636v2 · doi: 10.48550/arxiv.1503.04636 · pith_short_12: BW25XI3V2VKZ · pith_short_16: BW25XI3V2VKZKUAU · pith_short_8: BW25XI3V

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/BW25XI3V2VKZKUAUODE5EKRCYG \
  | 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: 0db5dba375d55595501470c9d22a22c1bb5fb64c32140963e4e2be4e81ba5eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c96e6d7cc9f4a97e441449191c5f130a081e16e08beab274fc66e8cc534e44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-16T13:23:17Z",
    "title_canon_sha256": "70bbcaea9746e931c8f188a000bae162f5b6f76f240fa24847276890e5c37896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04636",
    "kind": "arxiv",
    "version": 2
  }
}