Pith Number

pith:FRN56ADU

pith:2016:FRN56ADUFPD3WNCHDEX2A7XXU6

not attested not anchored not stored refs pending

The Sum of Four Squares Over Real Quadratic Number Fields

Katherine Thompson

arxiv:1610.06935 v2 · 2016-10-21 · 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{FRN56ADUFPD3WNCHDEX2A7XXU6}

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	2026-05-18T00:15:10.656955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c5bdf00742bc7bb3447192fa07ef7a7bb5cf7c3b8abc2f64f1e7a72b99d1ebd

Aliases

arxiv: 1610.06935 · arxiv_version: 1610.06935v2 · doi: 10.48550/arxiv.1610.06935 · pith_short_12: FRN56ADUFPD3 · pith_short_16: FRN56ADUFPD3WNCH · pith_short_8: FRN56ADU

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/FRN56ADUFPD3WNCHDEX2A7XXU6 \
  | 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: 2c5bdf00742bc7bb3447192fa07ef7a7bb5cf7c3b8abc2f64f1e7a72b99d1ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a18ecd5a910505563e1730a76456c6c805745276356a00b0606b3a3c72a65d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-21T20:05:08Z",
    "title_canon_sha256": "d3deb85acabe533b1ae6d8f46a90cf87d72e0fa9df74d108ddf52d502ee0f93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06935",
    "kind": "arxiv",
    "version": 2
  }
}