Pith Number

pith:MGLUHEDP

pith:2016:MGLUHEDPTJAE5YR2DVSBZFQVJ4

not attested not anchored not stored refs pending

Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros

Antanas Laurin\v{c}ikas, Ram\=unas Garunk\v{s}tis

arxiv:1608.08493 v2 · 2016-08-30 · 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{MGLUHEDPTJAE5YR2DVSBZFQVJ4}

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	2026-05-18T00:28:35.840595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619743906f9a404ee23a1d641c96154f286414e8134b2cfc7a45c71001a317f6

Aliases

arxiv: 1608.08493 · arxiv_version: 1608.08493v2 · doi: 10.48550/arxiv.1608.08493 · pith_short_12: MGLUHEDPTJAE · pith_short_16: MGLUHEDPTJAE5YR2 · pith_short_8: MGLUHEDP

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/MGLUHEDPTJAE5YR2DVSBZFQVJ4 \
  | 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: 619743906f9a404ee23a1d641c96154f286414e8134b2cfc7a45c71001a317f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d32d62b38ff2a29abcf980121059eecb8e710762cf56100fb2f20f3a50d41a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-30T15:15:05Z",
    "title_canon_sha256": "29d43ac2d1f53c3bd0b17f9c1e565c7118e0c49e319b2513846b74fe16a84867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08493",
    "kind": "arxiv",
    "version": 2
  }
}