Pith Number

pith:TDO7UPJ6

pith:2014:TDO7UPJ6PM7WHFWCQORA2QM37Y

not attested not anchored not stored refs pending

Generalizations of a cotangent sum associated to the Estermann zeta function

Helmut Maier, Michael Th. Rassias

arxiv:1410.2145 v1 · 2014-10-08 · 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{TDO7UPJ6PM7WHFWCQORA2QM37Y}

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	2026-05-18T02:40:48.110624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ddfa3d3e7b3f6396c283a20d419bfe2cd86532419c447f97dde8f5a3279361

Aliases

arxiv: 1410.2145 · arxiv_version: 1410.2145v1 · doi: 10.48550/arxiv.1410.2145 · pith_short_12: TDO7UPJ6PM7W · pith_short_16: TDO7UPJ6PM7WHFWC · pith_short_8: TDO7UPJ6

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/TDO7UPJ6PM7WHFWCQORA2QM37Y \
  | 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: 98ddfa3d3e7b3f6396c283a20d419bfe2cd86532419c447f97dde8f5a3279361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0184243e6e5ef6c5eb5911d1d0ceaad5a859b10fc86969dfd596b495c6fb5c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-08T14:45:59Z",
    "title_canon_sha256": "25a64284bcdc892ac4aed74df6f72f4ae439574daba701aa783d1de40d19ba24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2145",
    "kind": "arxiv",
    "version": 1
  }
}