Pith Number

pith:A42NDNOG

pith:2026:A42NDNOGWWYXDU6AOUAOTCKQ5Y

not attested not anchored not stored refs pending

On Diophantine pairs and triples of triangular numbers

Marija Bliznac Trebje\v{s}anin

arxiv:2603.29565 v2 · 2026-03-31 · 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{A42NDNOGWWYXDU6AOUAOTCKQ5Y}

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	2026-06-19T16:12:53.649725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0734d1b5c6b5b171d3c07500e98950ee30f4a3c538d75741e91b71d615c295ff

Aliases

arxiv: 2603.29565 · arxiv_version: 2603.29565v2 · doi: 10.48550/arxiv.2603.29565 · pith_short_12: A42NDNOGWWYX · pith_short_16: A42NDNOGWWYXDU6A · pith_short_8: A42NDNOG

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/A42NDNOGWWYXDU6AOUAOTCKQ5Y \
  | 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: 0734d1b5c6b5b171d3c07500e98950ee30f4a3c538d75741e91b71d615c295ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446850d25f356943109b667b5eb9a7415ae9a47a99e537725f8f45ad592c27b0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-03-31T10:48:23Z",
    "title_canon_sha256": "f951c2a196aa86f3ea86a128fd558522a0703e9c1ce89e6c97e8cd60d744f37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.29565",
    "kind": "arxiv",
    "version": 2
  }
}