Pith Number

pith:EYRWBC4Q

pith:2016:EYRWBC4QN5NK3N52WS4B73HBRY

not attested not anchored not stored refs pending

Bounds on short character sums and L-functions for characters with a smooth modulus

Igor Shparlinski, William Banks

arxiv:1605.07553 v2 · 2016-05-24 · 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{EYRWBC4QN5NK3N52WS4B73HBRY}

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	2026-05-18T01:06:20.634121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2623608b906f5aadb7bab4b81fece18e18047c85e6f5b67f2d9a8a0474d81d04

Aliases

arxiv: 1605.07553 · arxiv_version: 1605.07553v2 · doi: 10.48550/arxiv.1605.07553 · pith_short_12: EYRWBC4QN5NK · pith_short_16: EYRWBC4QN5NK3N52 · pith_short_8: EYRWBC4Q

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/EYRWBC4QN5NK3N52WS4B73HBRY \
  | 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: 2623608b906f5aadb7bab4b81fece18e18047c85e6f5b67f2d9a8a0474d81d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a114dea2d703ecfe2c8afe3170e111dba5fc3dc737bf0f914fab52a5dab4a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-24T17:35:01Z",
    "title_canon_sha256": "1a5518df49c977ce21ffd7200814b8e69f8f96adcf3b2b7736d2f80bb00ffcb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07553",
    "kind": "arxiv",
    "version": 2
  }
}