Pith Number

pith:6IH6DOOQ

pith:2016:6IH6DOOQVPC2XCL4S5QRG6MFVB

not attested not anchored not stored refs pending

On the addition of squares of units modulo n

Mohsen Mollahajiaghaei

arxiv:1607.08837 v1 · 2016-07-29 · math.CO · 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{6IH6DOOQVPC2XCL4S5QRG6MFVB}

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	2026-05-18T01:10:15.789103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f20fe1b9d0abc5ab897c9761137985a86c9846512c2040dc0989eaebfa4f98a1

Aliases

arxiv: 1607.08837 · arxiv_version: 1607.08837v1 · doi: 10.48550/arxiv.1607.08837 · pith_short_12: 6IH6DOOQVPC2 · pith_short_16: 6IH6DOOQVPC2XCL4 · pith_short_8: 6IH6DOOQ

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/6IH6DOOQVPC2XCL4S5QRG6MFVB \
  | 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: f20fe1b9d0abc5ab897c9761137985a86c9846512c2040dc0989eaebfa4f98a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2dfa6b69079a7c750a4d561671c6eae82228a9ed110ce9b34f4ad40987a05ac",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-29T14:59:46Z",
    "title_canon_sha256": "93104a794f4b28ec6a9991b92b9495540389b4101527e0eb0d8d6c2f8db85259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08837",
    "kind": "arxiv",
    "version": 1
  }
}