Pith Number

pith:TJHXFCP7

pith:2014:TJHXFCP7LSZFD5RPCJ3TTM6S2U

not attested not anchored not stored refs pending

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

Vladimir Pletser

arxiv:1409.7969 v1 · 2014-09-28 · 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{TJHXFCP7LSZFD5RPCJ3TTM6S2U}

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	2026-05-18T02:41:33.963344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4f7289ff5cb251f62f127739b3d2d5115f749cc0ad46efecb8820b78f0f90a

Aliases

arxiv: 1409.7969 · arxiv_version: 1409.7969v1 · doi: 10.48550/arxiv.1409.7969 · pith_short_12: TJHXFCP7LSZF · pith_short_16: TJHXFCP7LSZFD5RP · pith_short_8: TJHXFCP7

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/TJHXFCP7LSZFD5RPCJ3TTM6S2U \
  | 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: 9a4f7289ff5cb251f62f127739b3d2d5115f749cc0ad46efecb8820b78f0f90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "779af829850ef3cadce406e709a715e2c953a6564fd186ed5be95febf35f531a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-28T23:52:49Z",
    "title_canon_sha256": "5ec7cb8c6a151972abb0325070e08568e6222d74c74eb6c9a24fb292c784fee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7969",
    "kind": "arxiv",
    "version": 1
  }
}