Pith Number

pith:WSHINGFI

pith:2016:WSHINGFIASAKCT4D2G4WGWHH2Q

not attested not anchored not stored refs pending

Asymptotics for moments of certain cotangent sums for arbitrary exponents

Helmut Maier, Michael Th. Rassias

arxiv:1612.01391 v1 · 2016-12-05 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSHINGFIASAKCT4D2G4WGWHH2Q}

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	2026-05-18T00:55:52.769574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48e8698a80480a14f83d1b96358e7d414febc8c3a49722fe3ec0f72ddec1620

Aliases

arxiv: 1612.01391 · arxiv_version: 1612.01391v1 · doi: 10.48550/arxiv.1612.01391 · pith_short_12: WSHINGFIASAK · pith_short_16: WSHINGFIASAKCT4D · pith_short_8: WSHINGFI

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/WSHINGFIASAKCT4D2G4WGWHH2Q \
  | 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: b48e8698a80480a14f83d1b96358e7d414febc8c3a49722fe3ec0f72ddec1620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b2f66b60d15f44c62def4a2aff27014db66a269378681d1633b2def14e1780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-05T15:24:50Z",
    "title_canon_sha256": "bceb7abe22d2cf4e9d0d35f11d5fd680713b03ca9009eeb41fe5082cf4a95e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01391",
    "kind": "arxiv",
    "version": 1
  }
}