Pith Number

pith:FTPCVJCM

pith:2014:FTPCVJCMITQT6T7GP5RH5U7AU6

not attested not anchored not stored refs pending

Finding all squared integers expressible as the sum of consecutive squared integers using generalized Pell equation solutions with Chebyshev polynomials

Vladimir Pletser

arxiv:1409.7972 v1 · 2014-09-29 · 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{FTPCVJCMITQT6T7GP5RH5U7AU6}

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	2026-05-18T02:41:33.949104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cde2aa44c44e13f4fe67f627ed3e0a7b1abdf7382279d6ca8f06a3fef980fd9

Aliases

arxiv: 1409.7972 · arxiv_version: 1409.7972v1 · doi: 10.48550/arxiv.1409.7972 · pith_short_12: FTPCVJCMITQT · pith_short_16: FTPCVJCMITQT6T7G · pith_short_8: FTPCVJCM

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/FTPCVJCMITQT6T7GP5RH5U7AU6 \
  | 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: 2cde2aa44c44e13f4fe67f627ed3e0a7b1abdf7382279d6ca8f06a3fef980fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed08549d0c0feec90e9681fc5fbb5ea466e16aff3707a4e71c8ea87dc54dae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-29T00:23:25Z",
    "title_canon_sha256": "682a4191bc8e9b367027ca19e8f397c67893a534ae8d80b99e27a4aa270dcef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7972",
    "kind": "arxiv",
    "version": 1
  }
}