Pith Number

pith:C3AHKPDN

pith:2015:C3AHKPDNTMAENYLRKFXYK4BMQ3

not attested not anchored not stored refs pending

Continued fraction expression of the Mathieu series

Wenguang Zhai, Xiaodong Cao, Yoshio Tanigawa

arxiv:1508.00177 v1 · 2015-08-02 · math.CA · 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{C3AHKPDNTMAENYLRKFXYK4BMQ3}

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	2026-05-18T01:35:58.787288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c0753c6d9b0046e171516f85702c86e507a63a43d8913a4b54ee69d1defdc4

Aliases

arxiv: 1508.00177 · arxiv_version: 1508.00177v1 · doi: 10.48550/arxiv.1508.00177 · pith_short_12: C3AHKPDNTMAE · pith_short_16: C3AHKPDNTMAENYLR · pith_short_8: C3AHKPDN

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/C3AHKPDNTMAENYLRKFXYK4BMQ3 \
  | 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: 16c0753c6d9b0046e171516f85702c86e507a63a43d8913a4b54ee69d1defdc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3debfdd5dde1029a6509793221c35637504de9715fbd50f4893216cbb18455a6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-02T00:08:53Z",
    "title_canon_sha256": "151b99edd822435b335edb6e917ce6b681a669d85cb037eaa91c4bdf7e3d2891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00177",
    "kind": "arxiv",
    "version": 1
  }
}