Pith Number

pith:OGFYGOP2

pith:2013:OGFYGOP2BB4LJQWNMUWCBBXJ3U

not attested not anchored not stored refs pending

Non-extensibility of the pair $\{1, 3\}$ to a Diophantine quintuple in $\mathbb{Z}\left[\sqrt{-d}\right]$

Dijana Kreso, Zrinka Franu\v{s}i\'c

arxiv:1312.5241 v1 · 2013-12-18 · 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{OGFYGOP2BB4LJQWNMUWCBBXJ3U}

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	2026-05-18T03:04:15.943492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

718b8339fa0878b4c2cd652c2086e9dd0b552a747adc465de9ffcc28bddc39ab

Aliases

arxiv: 1312.5241 · arxiv_version: 1312.5241v1 · doi: 10.48550/arxiv.1312.5241 · pith_short_12: OGFYGOP2BB4L · pith_short_16: OGFYGOP2BB4LJQWN · pith_short_8: OGFYGOP2

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/OGFYGOP2BB4LJQWNMUWCBBXJ3U \
  | 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: 718b8339fa0878b4c2cd652c2086e9dd0b552a747adc465de9ffcc28bddc39ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b6bec32cb9bde3c8c2a76bfee37819546b79e19aa8b07109cfa8639772c8861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-18T17:43:13Z",
    "title_canon_sha256": "5e02832ac2cbdb7bbd6d4f6377fcbf4f91eeaa258053d5f8fe3aab3a2b876ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5241",
    "kind": "arxiv",
    "version": 1
  }
}