Pith Number

pith:XSGAKYXL

pith:2015:XSGAKYXLIDLIEUJTFJY5X7QZ6L

not attested not anchored not stored refs pending

Large GCD sums and extreme values of the Riemann zeta function

Andriy Bondarenko, Kristian Seip

arxiv:1507.05840 v5 · 2015-07-21 · 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{XSGAKYXLIDLIEUJTFJY5X7QZ6L}

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	2026-05-18T00:32:44.975081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8c0562eb40d68251332a71dbfe19f2c5328c817f949d5300251f7790cd417a

Aliases

arxiv: 1507.05840 · arxiv_version: 1507.05840v5 · doi: 10.48550/arxiv.1507.05840 · pith_short_12: XSGAKYXLIDLI · pith_short_16: XSGAKYXLIDLIEUJT · pith_short_8: XSGAKYXL

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/XSGAKYXLIDLIEUJTFJY5X7QZ6L \
  | 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: bc8c0562eb40d68251332a71dbfe19f2c5328c817f949d5300251f7790cd417a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac742749e999ea3375b5b256788c75777e77dd79c2e6a7673d9a2124fc5bb81e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-21T14:12:12Z",
    "title_canon_sha256": "d5743a5955c2b7f82cf93f4112c20cab31aec6b59b657c066fa8085249b38787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05840",
    "kind": "arxiv",
    "version": 5
  }
}