Pith Number

pith:FMIPCPWJ

pith:2018:FMIPCPWJZ2VVJXD6AATN7TUQEH

not attested not anchored not stored refs pending

On the distribution of values of the argument of the Riemann zeta-function

Aleksandar Ivi\'c, Maxim Korolev

arxiv:1808.10768 v1 · 2018-08-31 · 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{FMIPCPWJZ2VVJXD6AATN7TUQEH}

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	2026-05-18T00:06:44.605830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b10f13ec9ceab54dc7e0026dfce9021f9dd97b190f6ad94edf66bc0ec50ad5a

Aliases

arxiv: 1808.10768 · arxiv_version: 1808.10768v1 · doi: 10.48550/arxiv.1808.10768 · pith_short_12: FMIPCPWJZ2VV · pith_short_16: FMIPCPWJZ2VVJXD6 · pith_short_8: FMIPCPWJ

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/FMIPCPWJZ2VVJXD6AATN7TUQEH \
  | 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: 2b10f13ec9ceab54dc7e0026dfce9021f9dd97b190f6ad94edf66bc0ec50ad5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77822308ea5af7e3d8ee01d3a37721d74fbe8c328cbdd2a2ad6123fc64f674ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-31T14:25:48Z",
    "title_canon_sha256": "6baab81d6cf8cf94a777f559a211a8cd1e19760f76de6aa41660077f34789276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10768",
    "kind": "arxiv",
    "version": 1
  }
}