Pith Number

pith:XZPMBNTA

pith:2014:XZPMBNTADHU6UNUNFRKIUHM3P6

not attested not anchored not stored refs pending

Zeta functions over zeros of Zeta functions and an exponential-asymptotic view of the Riemann Hypothesis

Andr\'e Voros

arxiv:1403.4558 v2 · 2014-03-18 · math.NT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZPMBNTADHU6UNUNFRKIUHM3P6}

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	2026-05-18T01:41:58.191608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5ec0b66019e9ea368d2c548a1d9b7f8ea289b58223533ffc5dbe31726a8960

Aliases

arxiv: 1403.4558 · arxiv_version: 1403.4558v2 · doi: 10.48550/arxiv.1403.4558 · pith_short_12: XZPMBNTADHU6 · pith_short_16: XZPMBNTADHU6UNUN · pith_short_8: XZPMBNTA

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/XZPMBNTADHU6UNUNFRKIUHM3P6 \
  | 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: be5ec0b66019e9ea368d2c548a1d9b7f8ea289b58223533ffc5dbe31726a8960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8530ceb8ad3d496c1b7c7a4973a965525aa8f11d5f33931aca2219bb8aaa17c3",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-18T18:11:07Z",
    "title_canon_sha256": "c29649133dd78e1026863b34d31ef7e999d0e6a8c9386a5a38f52dd91ae895c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4558",
    "kind": "arxiv",
    "version": 2
  }
}