Pith Number

pith:L5OLYH3C

pith:2011:L5OLYH3CFDZ3RTD5PNGQNPSSYC

not attested not anchored not stored refs pending

Variations of the Ramanujan polynomials and remarks on $\zeta(2j+1)/\pi^{2j+1}$

Mathew Rogers, Matilde Lalin

arxiv:1106.1189 v1 · 2011-06-06 · 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{L5OLYH3CFDZ3RTD5PNGQNPSSYC}

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	2026-05-18T04:20:24.354860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5cbc1f6228f3b8cc7d7b4d06be52c0a8b6528f896672693b937524795f9bf1

Aliases

arxiv: 1106.1189 · arxiv_version: 1106.1189v1 · doi: 10.48550/arxiv.1106.1189 · pith_short_12: L5OLYH3CFDZ3 · pith_short_16: L5OLYH3CFDZ3RTD5 · pith_short_8: L5OLYH3C

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/L5OLYH3CFDZ3RTD5PNGQNPSSYC \
  | 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: 5f5cbc1f6228f3b8cc7d7b4d06be52c0a8b6528f896672693b937524795f9bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c214f960a0be1b344f82f26ab8c02ec3c8d5b907c7b3c936a9f96c6c8d1c7c38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-06T20:17:04Z",
    "title_canon_sha256": "d3eb45dd87b5fc8da49dd9ceedb5f7c42c98e9dacf7434a2d64de42c15995c38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1189",
    "kind": "arxiv",
    "version": 1
  }
}