Pith Number

pith:25J6JLMO

pith:2020:25J6JLMOD4VGWUUI36CKFF5JEM

not attested not anchored not stored refs pending

A geometric proof that $\sqrt{3}$, $\sqrt{5}$ and $\sqrt{7}$ are irrational

Ricardo A. Podest\'a

arxiv:2003.06627 v3 · 2020-03-14 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25J6JLMOD4VGWUUI36CKFF5JEM}

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	2026-07-05T01:11:34.134388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d753e4ad8e1f2a6b5288df84a297a9232d31ffb74ae63f420a8a508561f50699

Aliases

arxiv: 2003.06627 · arxiv_version: 2003.06627v3 · doi: 10.48550/arxiv.2003.06627 · pith_short_12: 25J6JLMOD4VG · pith_short_16: 25J6JLMOD4VGWUUI · pith_short_8: 25J6JLMO

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/25J6JLMOD4VGWUUI36CKFF5JEM \
  | 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: d753e4ad8e1f2a6b5288df84a297a9232d31ffb74ae63f420a8a508561f50699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa571a3265e0aaa320d57808bc2e70251d0335ba8c57d6ef5ce2032037a6d19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2020-03-14T13:28:58Z",
    "title_canon_sha256": "9753fec71c362bee3269ed6de3ab8c6b15b60b006c670337ce7ce14f955fc14e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06627",
    "kind": "arxiv",
    "version": 3
  }
}