Pith Number

pith:3P3XBOHQ

pith:2016:3P3XBOHQKFRAL2MSC7HNEIUFPS

not attested not anchored not stored refs pending

Asymptotics for moments of certain cotangent sums

Helmut Maier, Michael Th. Rassias

arxiv:1606.03131 v2 · 2016-06-09 · 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{3P3XBOHQKFRAL2MSC7HNEIUFPS}

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	2026-05-18T01:11:57.474168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf770b8f0516205e99217ced222857c89a2748685cc3750c0357e4378744a31

Aliases

arxiv: 1606.03131 · arxiv_version: 1606.03131v2 · doi: 10.48550/arxiv.1606.03131 · pith_short_12: 3P3XBOHQKFRA · pith_short_16: 3P3XBOHQKFRAL2MS · pith_short_8: 3P3XBOHQ

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/3P3XBOHQKFRAL2MSC7HNEIUFPS \
  | 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: dbf770b8f0516205e99217ced222857c89a2748685cc3750c0357e4378744a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3115db31c5300669fd218854a5e4612aac808100430f67d19a472aba073780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-09T22:00:18Z",
    "title_canon_sha256": "31d4a0455b85f8055e11755813a57fbce1db488816913f5221f31c34f115a906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03131",
    "kind": "arxiv",
    "version": 2
  }
}