Pith Number

pith:CTOC7TY4

pith:2014:CTOC7TY4H4F36LUMUTAL56H62X

not attested not anchored not stored refs pending

The rate of growth of moments of certain cotangent sums

Helmut Maier, Michael Th. Rassias

arxiv:1411.2187 v1 · 2014-11-09 · 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{CTOC7TY4H4F36LUMUTAL56H62X}

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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.

Receipt and verification

First computed	2026-05-18T02:38:08.225068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14dc2fcf1c3f0bbf2e8ca4c0bef8fed5d827d6fca6b3bd5d157cf6ae188ddbf5

Aliases

arxiv: 1411.2187 · arxiv_version: 1411.2187v1 · doi: 10.48550/arxiv.1411.2187 · pith_short_12: CTOC7TY4H4F3 · pith_short_16: CTOC7TY4H4F36LUM · pith_short_8: CTOC7TY4

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/CTOC7TY4H4F36LUMUTAL56H62X \
  | 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: 14dc2fcf1c3f0bbf2e8ca4c0bef8fed5d827d6fca6b3bd5d157cf6ae188ddbf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c38ab8f290ebaa40b0f8d55c565d3cf0aa56e784457286a5f2e6cf79e0f002e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-09T02:53:58Z",
    "title_canon_sha256": "8ca1faec7256858d107743e9c9a55b1dbbe4e39bb68a482415d6932a0b7f81fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2187",
    "kind": "arxiv",
    "version": 1
  }
}