Pith Number

pith:JQVYQDDF

pith:2025:JQVYQDDFYH2XEDK7QOCPG75QQL

not attested not anchored not stored refs pending

An Elementary Proof for the Basel Problem

Jesus Retamozo

arxiv:2506.11101 v1 · 2025-06-06 · math.CA · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQVYQDDFYH2XEDK7QOCPG75QQL}

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	2026-07-05T11:20:59.416626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2b880c65c1f5720d5f8384f37fb082c6df0d06ab40f3853b7b3de6568eea4a

Aliases

arxiv: 2506.11101 · arxiv_version: 2506.11101v1 · doi: 10.48550/arxiv.2506.11101 · pith_short_12: JQVYQDDFYH2X · pith_short_16: JQVYQDDFYH2XEDK7 · pith_short_8: JQVYQDDF

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/JQVYQDDFYH2XEDK7QOCPG75QQL \
  | 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: 4c2b880c65c1f5720d5f8384f37fb082c6df0d06ab40f3853b7b3de6568eea4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be820eeef9e8ebc62c38401fbce23cec21447988c77728b02490a0c9554905b",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-06T15:52:25Z",
    "title_canon_sha256": "0fa9a366a5f6e519794479a755f153db8deb787e6422f05b148bc6bb194cba12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11101",
    "kind": "arxiv",
    "version": 1
  }
}