Pith Number

pith:HVSW5EKP

pith:2025:HVSW5EKPPL7BZOJLH3QXV6HDBK

not attested not anchored not stored refs pending

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function

Ade Irma Suriajaya, Caroline L. Turnage-Butterbaugh, Daniel Alan Goldston, Siegfred Alan C. Baluyot

arxiv:2508.10857 v1 · 2025-08-14 · 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{HVSW5EKPPL7BZOJLH3QXV6HDBK}

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	2026-07-05T11:54:03.705853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d656e914f7afe1cb92b3ee17af8e30ab707d0b86feeaa4a800e744c3ad7fdd1

Aliases

arxiv: 2508.10857 · arxiv_version: 2508.10857v1 · doi: 10.48550/arxiv.2508.10857 · pith_short_12: HVSW5EKPPL7B · pith_short_16: HVSW5EKPPL7BZOJL · pith_short_8: HVSW5EKP

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/HVSW5EKPPL7BZOJLH3QXV6HDBK \
  | 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: 3d656e914f7afe1cb92b3ee17af8e30ab707d0b86feeaa4a800e744c3ad7fdd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a68d6a37f5606d6a95fc4c403755b56a8748231843573c469536f9137c17fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-14T17:29:05Z",
    "title_canon_sha256": "cb9fdb1a5985af5532644d4ae3aacce17768a635d7f2eb3e9859365223fd7611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10857",
    "kind": "arxiv",
    "version": 1
  }
}