Pith Number

pith:ZLPO76GT

pith:2017:ZLPO76GTO7NEXYJLYTLIA4BWQI

not attested not anchored not stored refs pending

Nonexistence of $D(4)$-quintuples

Alan Filipin, Marija Bliznac Trebje\v{s}anin

arxiv:1704.01874 v4 · 2017-04-06 · 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{ZLPO76GTO7NEXYJLYTLIA4BWQI}

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	2026-05-18T00:07:28.458936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cadeeff8d377da4be12bc4d68070368231ea6ecddcc94a695f9eb5e8a0f393ef

Aliases

arxiv: 1704.01874 · arxiv_version: 1704.01874v4 · doi: 10.48550/arxiv.1704.01874 · pith_short_12: ZLPO76GTO7NE · pith_short_16: ZLPO76GTO7NEXYJL · pith_short_8: ZLPO76GT

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/ZLPO76GTO7NEXYJLYTLIA4BWQI \
  | 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: cadeeff8d377da4be12bc4d68070368231ea6ecddcc94a695f9eb5e8a0f393ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b25dc1f83d387272d444d8716396f10ed4960f068f5a317a9f1a5b24ee0ca67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-06T14:58:04Z",
    "title_canon_sha256": "97215e1f700cb7a2d7517090a96076e9e9a4013b7601e5352d81f878dc182b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01874",
    "kind": "arxiv",
    "version": 4
  }
}