Pith Number

pith:RSJG3GWE

pith:2017:RSJG3GWEPCA2VOP7SBKTOHWGCY

not attested not anchored not stored refs pending

A refinement of the Burgess bound for character sums

Bryce Kerr, Igor E. Shparlinski, Kam Hung Yau

arxiv:1711.10582 v2 · 2017-11-28 · 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{RSJG3GWEPCA2VOP7SBKTOHWGCY}

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	2026-05-17T23:46:46.509338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c926d9ac47881aab9ff9055371ec61622382e34fcab4db2037c09c3bd8271a0

Aliases

arxiv: 1711.10582 · arxiv_version: 1711.10582v2 · doi: 10.48550/arxiv.1711.10582 · pith_short_12: RSJG3GWEPCA2 · pith_short_16: RSJG3GWEPCA2VOP7 · pith_short_8: RSJG3GWE

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/RSJG3GWEPCA2VOP7SBKTOHWGCY \
  | 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: 8c926d9ac47881aab9ff9055371ec61622382e34fcab4db2037c09c3bd8271a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e2e4e141c8e86ffda2d67e50d7894905e1b16a11e6ef308fdb77bab75816f5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-28T22:03:40Z",
    "title_canon_sha256": "d2d5590b9bb8cf8621cb80362a14f506c39a47b08b1eddc13c70395a14f27385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10582",
    "kind": "arxiv",
    "version": 2
  }
}