Pith Number

pith:4EBFQ7O4

pith:2013:4EBFQ7O4555IXQQRCQWHAZZ5MC

not attested not anchored not stored refs pending

Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms

Anne-Maria Ernvall-Hyt\"onen

arxiv:1311.3552 v2 · 2013-11-14 · 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{4EBFQ7O4555IXQQRCQWHAZZ5MC}

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	2026-05-18T02:47:44.698883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e102587ddcef7a8bc211142c70673d60bc0f5a9547d2c3d9ad21c27b76ba5dc7

Aliases

arxiv: 1311.3552 · arxiv_version: 1311.3552v2 · doi: 10.48550/arxiv.1311.3552 · pith_short_12: 4EBFQ7O4555I · pith_short_16: 4EBFQ7O4555IXQQR · pith_short_8: 4EBFQ7O4

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/4EBFQ7O4555IXQQRCQWHAZZ5MC \
  | 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: e102587ddcef7a8bc211142c70673d60bc0f5a9547d2c3d9ad21c27b76ba5dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138657d5068a68a1a68a84aacb8abcda96d04d970889dffc0c2f5d754526beeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-14T15:57:39Z",
    "title_canon_sha256": "7da97faea67361faec5bcfe4c8312ef3035b372739bf6663f125acd92715dade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3552",
    "kind": "arxiv",
    "version": 2
  }
}