Pith Number

pith:3FCLNEUF

pith:2011:3FCLNEUF77OYB6DBIUWNJCTYDZ

not attested not anchored not stored refs pending

On convergence of the Flint Hills series

Max A. Alekseyev

arxiv:1104.5100 v1 · 2011-04-27 · math.CA · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FCLNEUF77OYB6DBIUWNJCTYDZ}

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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.

Cited by

2 papers in Pith

On the flint hills series

On the Critical Line Re(s) = 1/2, the Irrationality Measure of {\pi}, and the Automorphic Structure of the Flint Hills Series

Receipt and verification

First computed	2026-05-18T04:23:22.649495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d944b69285ffdd80f861452cd48a781e5aff4f62ecb8777bbc64430a58219f30

Aliases

arxiv: 1104.5100 · arxiv_version: 1104.5100v1 · doi: 10.48550/arxiv.1104.5100 · pith_short_12: 3FCLNEUF77OY · pith_short_16: 3FCLNEUF77OYB6DB · pith_short_8: 3FCLNEUF

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/3FCLNEUF77OYB6DBIUWNJCTYDZ \
  | 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: d944b69285ffdd80f861452cd48a781e5aff4f62ecb8777bbc64430a58219f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22107f4480187e0b159153982d34241bf3d52045d376a9127f18a8ffad1f62ef",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-27T09:50:10Z",
    "title_canon_sha256": "25b5f7d59b232999a8a3a8cf109339a85ab109b1c39ce234b78379887860924c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5100",
    "kind": "arxiv",
    "version": 1
  }
}