Pith Number

pith:KJWUAXGT

pith:2012:KJWUAXGTKG5VPATCWHWLZCPCUD

not attested not anchored not stored refs pending

Limitations to mollifying $\zeta(s)$

Maksym Radziwill

arxiv:1207.6583 v3 · 2012-07-27 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJWUAXGTKG5VPATCWHWLZCPCUD}

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

The $\theta = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions

Receipt and verification

First computed	2026-05-18T03:43:29.464956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526d405cd351bb578262b1ecbc89e2a0da2e01dbc28c2d07ac92c1cd83c64018

Aliases

arxiv: 1207.6583 · arxiv_version: 1207.6583v3 · doi: 10.48550/arxiv.1207.6583 · pith_short_12: KJWUAXGTKG5V · pith_short_16: KJWUAXGTKG5VPATC · pith_short_8: KJWUAXGT

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/KJWUAXGTKG5VPATCWHWLZCPCUD \
  | 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: 526d405cd351bb578262b1ecbc89e2a0da2e01dbc28c2d07ac92c1cd83c64018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1035dda96bd2d5dd85ab1e44aecf3c3a640d9ca5d916f91b48b3cd3b7275a1b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-27T15:53:40Z",
    "title_canon_sha256": "3dc33c373bbc32dcdf44f8d2a309c7bde706d718ea8b4371fc7072ba9a9da3a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6583",
    "kind": "arxiv",
    "version": 3
  }
}