Pith Number

pith:IJ66IKRD

pith:2015:IJ66IKRDDA2KKT6UEIJUQOLPY3

not attested not anchored not stored refs pending

Estimates for Character Sums with Various Convolutions

Brandon Hanson

arxiv:1509.04354 v1 · 2015-09-14 · 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{IJ66IKRDDA2KKT6UEIJUQOLPY3}

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	2026-05-18T01:33:07.398743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427de42a231834a54fd4221348396fc6dc0da7a701fad0576a2a227ad778bdde

Aliases

arxiv: 1509.04354 · arxiv_version: 1509.04354v1 · doi: 10.48550/arxiv.1509.04354 · pith_short_12: IJ66IKRDDA2K · pith_short_16: IJ66IKRDDA2KKT6U · pith_short_8: IJ66IKRD

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/IJ66IKRDDA2KKT6UEIJUQOLPY3 \
  | 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: 427de42a231834a54fd4221348396fc6dc0da7a701fad0576a2a227ad778bdde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e998109a6d419098f807f7f56a12ddb45c227301980d6fbae9d2501b53b67b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-14T23:55:23Z",
    "title_canon_sha256": "bbb15076ca8c9ff5c83da776711486bf94bdba0e26936a2ba0fe89ce27f5670d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04354",
    "kind": "arxiv",
    "version": 1
  }
}