Pith Number

pith:RP5FAB6H

pith:2015:RP5FAB6HIFS2FOECRXVV2ZTVW7

not attested not anchored not stored refs pending

On some upper bounds for the zeta-function and the Dirichlet divisor problem

Aleksandar Ivi\'c

arxiv:1508.06394 v1 · 2015-08-26 · 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{RP5FAB6HIFS2FOECRXVV2ZTVW7}

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	2026-05-18T00:58:55.494602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bfa5007c74165a2b8828deb5d6675b7e86aa941a94c9b80839bc3cadc305b45

Aliases

arxiv: 1508.06394 · arxiv_version: 1508.06394v1 · doi: 10.48550/arxiv.1508.06394 · pith_short_12: RP5FAB6HIFS2 · pith_short_16: RP5FAB6HIFS2FOEC · pith_short_8: RP5FAB6H

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/RP5FAB6HIFS2FOECRXVV2ZTVW7 \
  | 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: 8bfa5007c74165a2b8828deb5d6675b7e86aa941a94c9b80839bc3cadc305b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7c39977b447f4d5d8425cc2beac3cfb16ff505b13948141636e7ccaaf2b8b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-26T07:50:10Z",
    "title_canon_sha256": "93a4b894700f405f0c844ae308c1019d856ea85ffb758633bc41bd793aa1f720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06394",
    "kind": "arxiv",
    "version": 1
  }
}