Pith Number

pith:H2USMTEC

pith:2025:H2USMTEC4XPISSRLUWCLLI5HNG

not attested not anchored not stored refs pending

Fast Ramanujan-type Series for Logarithms. Part I

Jorge Zuniga

arxiv:2506.08245 v1 · 2025-06-09 · 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{H2USMTEC4XPISSRLUWCLLI5HNG}

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	2026-07-05T11:18:46.815537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ea9264c82e5de894a2ba584b5a3a769b7f5a037279d6520d484cd7d2b109ae5

Aliases

arxiv: 2506.08245 · arxiv_version: 2506.08245v1 · doi: 10.48550/arxiv.2506.08245 · pith_short_12: H2USMTEC4XPI · pith_short_16: H2USMTEC4XPISSRL · pith_short_8: H2USMTEC

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/H2USMTEC4XPISSRLUWCLLI5HNG \
  | 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: 3ea9264c82e5de894a2ba584b5a3a769b7f5a037279d6520d484cd7d2b109ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cab7a165de6d7459c7a1dd294f8696b8d66672272773c06669bf5f221b33651",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-09T21:24:07Z",
    "title_canon_sha256": "999014a52a776df8ed766fe6e678e6119d650db691aef28468684398872a6df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08245",
    "kind": "arxiv",
    "version": 1
  }
}