Pith Number

pith:TYXLKDXW

pith:2014:TYXLKDXWWIY3AVXS5NBKOZIQRQ

not attested not anchored not stored refs pending

The order of magnitude for moments for certain cotangent sums

Helmut Maier, Michael Th. Rassias

arxiv:1412.1512 v2 · 2014-12-03 · 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{TYXLKDXWWIY3AVXS5NBKOZIQRQ}

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	2026-05-18T02:29:01.173775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2eb50ef6b231b056f2eb42a765108c3093a249944f44dedde8da4327f3de33

Aliases

arxiv: 1412.1512 · arxiv_version: 1412.1512v2 · doi: 10.48550/arxiv.1412.1512 · pith_short_12: TYXLKDXWWIY3 · pith_short_16: TYXLKDXWWIY3AVXS · pith_short_8: TYXLKDXW

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/TYXLKDXWWIY3AVXS5NBKOZIQRQ \
  | 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: 9e2eb50ef6b231b056f2eb42a765108c3093a249944f44dedde8da4327f3de33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681e96d7baac01770bbbc7a7ecc318827b29a751f651adac961ff620948ef554",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-03T22:53:11Z",
    "title_canon_sha256": "fa35ada33c5ba2284cad229b388ad60105a8636ea25055caa53984a348490191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1512",
    "kind": "arxiv",
    "version": 2
  }
}