Pith Number

pith:4JPBXBP2

pith:2024:4JPBXBP2BEIHCOCWD22NIK7ONM

not attested not anchored not stored refs pending

A lower bound for classical Kloosterman sums and an application

Jewel Mahajan, Jishu Das, Stephan Baier

arxiv:2406.13013 v4 · 2024-06-18 · 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{4JPBXBP2BEIHCOCWD22NIK7ONM}

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	2026-06-09T01:04:37.408557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25e1b85fa09107138561eb4d42bee6b39844422ffdf636eab65050dfad3a3f6

Aliases

arxiv: 2406.13013 · arxiv_version: 2406.13013v4 · doi: 10.48550/arxiv.2406.13013 · pith_short_12: 4JPBXBP2BEIH · pith_short_16: 4JPBXBP2BEIHCOCW · pith_short_8: 4JPBXBP2

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/4JPBXBP2BEIHCOCWD22NIK7ONM \
  | 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: e25e1b85fa09107138561eb4d42bee6b39844422ffdf636eab65050dfad3a3f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541bd2c5c55c4df9e5c83dcd9b7468f30db2b23dab1e00661706613c3072751c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-18T19:10:05Z",
    "title_canon_sha256": "44878bf80410e06b37006a9a2a526a595d1b47bb5309d03ee455893b2346ad52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.13013",
    "kind": "arxiv",
    "version": 4
  }
}