Pith Number

pith:T2UF2EXI

pith:2014:T2UF2EXI77YNJWGOJJWJ3U62LE

not attested not anchored not stored refs pending

Infinite series involving hyperbolic functions

Hirofumi Tsumura, Kohji Matsumoto, Yasushi Komori

arxiv:1409.0198 v1 · 2014-08-31 · 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{T2UF2EXI77YNJWGOJJWJ3U62LE}

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	2026-05-18T01:16:07.423699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea85d12e8fff0d4d8ce4a6c9dd3da590966d6262e411b5a7e252c56f9184b32

Aliases

arxiv: 1409.0198 · arxiv_version: 1409.0198v1 · doi: 10.48550/arxiv.1409.0198 · pith_short_12: T2UF2EXI77YN · pith_short_16: T2UF2EXI77YNJWGO · pith_short_8: T2UF2EXI

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/T2UF2EXI77YNJWGOJJWJ3U62LE \
  | 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: 9ea85d12e8fff0d4d8ce4a6c9dd3da590966d6262e411b5a7e252c56f9184b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1166348af0d68349cdb222120d1bf6b22090fcfbec34f1ddeab852b78975ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-31T09:12:39Z",
    "title_canon_sha256": "2903d7c5f80bf659831f2b6020769203a2d5f1eaccea8dc83df30e017428e875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0198",
    "kind": "arxiv",
    "version": 1
  }
}