Pith Number

pith:KJ2FKTQ4

pith:2016:KJ2FKTQ4NN54IBFVCCHQJRZVQG

not attested not anchored not stored refs pending

On the extreme values of the Riemann zeta function on random intervals of the critical line

Joseph Najnudel

arxiv:1611.05562 v2 · 2016-11-17 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJ2FKTQ4NN54IBFVCCHQJRZVQG}

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.

Cited by

1 paper in Pith

Black Holes and Random Variables

Receipt and verification

First computed	2026-05-18T00:19:42.535212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5274554e1c6b7bc404b5108f04c735819dfd1e821e75c7b24a9d5c0ce28c3379

Aliases

arxiv: 1611.05562 · arxiv_version: 1611.05562v2 · doi: 10.48550/arxiv.1611.05562 · pith_short_12: KJ2FKTQ4NN54 · pith_short_16: KJ2FKTQ4NN54IBFV · pith_short_8: KJ2FKTQ4

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/KJ2FKTQ4NN54IBFVCCHQJRZVQG \
  | 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: 5274554e1c6b7bc404b5108f04c735819dfd1e821e75c7b24a9d5c0ce28c3379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d102d6f9b33c58fd5d683b0cc4c7c5830e00a7ce55073d005b30f72fc137442",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-17T04:46:05Z",
    "title_canon_sha256": "bff133662fdb1f687fc41481b54f872f76bb2d21b4c613b2fdd8849c79419966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05562",
    "kind": "arxiv",
    "version": 2
  }
}