Pith Number

pith:HYOLU3BK

pith:2014:HYOLU3BKXC4KE4VGLXZZTVG32O

not attested not anchored not stored refs pending

Additional congruence conditions on the number of terms in sums of consecutive squared integers equal to squared integers

Vladimir Pletser

arxiv:1409.6261 v1 · 2014-08-20 · math.HO · 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{HYOLU3BKXC4KE4VGLXZZTVG32O}

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	2026-05-18T02:42:13.497276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1cba6c2ab8b8a272a65df399d4dbd3bf8c756a9df5b1b4cdb893400038820c

Aliases

arxiv: 1409.6261 · arxiv_version: 1409.6261v1 · doi: 10.48550/arxiv.1409.6261 · pith_short_12: HYOLU3BKXC4K · pith_short_16: HYOLU3BKXC4KE4VG · pith_short_8: HYOLU3BK

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/HYOLU3BKXC4KE4VGLXZZTVG32O \
  | 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: 3e1cba6c2ab8b8a272a65df399d4dbd3bf8c756a9df5b1b4cdb893400038820c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf4753b71d8cd8d24654b113ab3bace079cb0de053472be1c7b7203e3632e73",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-08-20T22:11:23Z",
    "title_canon_sha256": "544f6161fe0f4a52e494e361571a07d06cef6e5600b63c8f14a7c9dc1778b1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6261",
    "kind": "arxiv",
    "version": 1
  }
}