Pith Number

pith:OPQURMCN

pith:2026:OPQURMCNM6PRBF4OZPJXL5OPVD

not attested not anchored not stored refs pending

A Colombeau--Beurling criterion for the Riemann hypothesis

Amaury Alvarez Cruz, Esteban A Alvarez Gutierrez

arxiv:2606.22562 v1 · 2026-06-21 · 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{OPQURMCNM6PRBF4OZPJXL5OPVD}

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	2026-06-23T02:13:41.649276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e148b04d679f10978ecbd375f5cfa8cb6c1a3ed66447c386bec233cb56a77b

Aliases

arxiv: 2606.22562 · arxiv_version: 2606.22562v1 · doi: 10.48550/arxiv.2606.22562 · pith_short_12: OPQURMCNM6PR · pith_short_16: OPQURMCNM6PRBF4O · pith_short_8: OPQURMCN

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/OPQURMCNM6PRBF4OZPJXL5OPVD \
  | 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: 73e148b04d679f10978ecbd375f5cfa8cb6c1a3ed66447c386bec233cb56a77b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23542cae45aeb8b84253bd53361ec125d56d2acf197568e648f88eb7077d345c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-06-21T15:41:53Z",
    "title_canon_sha256": "a2cfce66179aed830998f7acfa9d2b13e9674f2f0e0e797d7a1a89f7e2ffb950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22562",
    "kind": "arxiv",
    "version": 1
  }
}