Pith Number

pith:ZCGYNXXO

pith:2019:ZCGYNXXOFROXK7M66LCMF6QHFY

not attested not anchored not stored refs pending

On the behavior of the logarithm of the Riemann zeta-function

Shota Inoue

arxiv:1902.02956 v1 · 2019-02-08 · 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{ZCGYNXXOFROXK7M66LCMF6QHFY}

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	2026-05-17T23:54:28.734740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88d86deee2c5d757d9ef2c4c2fa072e0e1de527e63f1ad249e8dec0025d8dfc

Aliases

arxiv: 1902.02956 · arxiv_version: 1902.02956v1 · doi: 10.48550/arxiv.1902.02956 · pith_short_12: ZCGYNXXOFROX · pith_short_16: ZCGYNXXOFROXK7M6 · pith_short_8: ZCGYNXXO

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/ZCGYNXXOFROXK7M66LCMF6QHFY \
  | 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: c88d86deee2c5d757d9ef2c4c2fa072e0e1de527e63f1ad249e8dec0025d8dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc23d3f74237d03e25f3ea4c559919c4f9b8abba6320d228c47ced0faac1511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-08T07:07:38Z",
    "title_canon_sha256": "28000dc8b63d1ac5fba3465618b1af19ecbd2750901a26afeb3bc4575104325d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02956",
    "kind": "arxiv",
    "version": 1
  }
}