Pith Number

pith:FQNDOJRX

pith:2017:FQNDOJRXTF6RQJ2PBVM2XFBHWR

not attested not anchored not stored refs pending

On the simultaneous equations $\sigma(2^a)=p^{f_1}q^{g_1}, \sigma(3^b)=p^{f_2}q^{g_2}, \sigma(5^c)=p^{f_3}q^{g_3}$

Tomohiro Yamada

arxiv:1703.10555 v1 · 2017-03-30 · 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{FQNDOJRXTF6RQJ2PBVM2XFBHWR}

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	2026-05-18T00:47:34.403185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1a372637997d18274f0d59ab9427b446390a43bfd276756815b4008ae25d22

Aliases

arxiv: 1703.10555 · arxiv_version: 1703.10555v1 · doi: 10.48550/arxiv.1703.10555 · pith_short_12: FQNDOJRXTF6R · pith_short_16: FQNDOJRXTF6RQJ2P · pith_short_8: FQNDOJRX

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/FQNDOJRXTF6RQJ2PBVM2XFBHWR \
  | 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: 2c1a372637997d18274f0d59ab9427b446390a43bfd276756815b4008ae25d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55a0c155025f44f160e32919e92c2b31db21887d47fa6ffe21fde852fcf6c82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-30T16:28:41Z",
    "title_canon_sha256": "f2d4527cada7e00affaa941115fc534ce40463ec66e94dfed8e4b64df95b2847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10555",
    "kind": "arxiv",
    "version": 1
  }
}