Pith Number

pith:DTSCBPTX

pith:2014:DTSCBPTXYIXMZ2GXNF7A7MKWEY

not attested not anchored not stored refs pending

Counting invertible sums of squares modulo $n$ and a new generalization of Euler totient function

A. Oller-Marcen, Catalina Calderon, Jose Maria Grau, L\'aszl\'o T\'oth

arxiv:1403.7878 v2 · 2014-03-31 · 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{DTSCBPTXYIXMZ2GXNF7A7MKWEY}

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	2026-05-18T02:49:03.047799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce420be77c22ecce8d7697e0fb156260a1881fac148809354f7373858506d17

Aliases

arxiv: 1403.7878 · arxiv_version: 1403.7878v2 · doi: 10.48550/arxiv.1403.7878 · pith_short_12: DTSCBPTXYIXM · pith_short_16: DTSCBPTXYIXMZ2GX · pith_short_8: DTSCBPTX

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/DTSCBPTXYIXMZ2GXNF7A7MKWEY \
  | 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: 1ce420be77c22ecce8d7697e0fb156260a1881fac148809354f7373858506d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ff95b0eead923df7cf10450ed7489d54a95fdb47d3d1335d4247715cb93918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-31T06:02:05Z",
    "title_canon_sha256": "9e72f1caa898df2983e5f1e88a5b7a4fd3bdfb0945169382bb2d7747ac61e5ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7878",
    "kind": "arxiv",
    "version": 2
  }
}