Pith Number

pith:TQU3Q622

pith:2019:TQU3Q622DFOGXIVDAP64YAMYHX

not attested not anchored not stored refs pending

The number of representations of squares by integral quaternary quadratic forms

Kyoungmin Kim

arxiv:1903.02248 v1 · 2019-03-06 · 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{TQU3Q622DFOGXIVDAP64YAMYHX}

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	2026-05-17T23:51:55.603955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c29b87b5a195c6ba2a303fdcc01983ddc6b4e928aa6cd3a5f132d40f2d783df

Aliases

arxiv: 1903.02248 · arxiv_version: 1903.02248v1 · doi: 10.48550/arxiv.1903.02248 · pith_short_12: TQU3Q622DFOG · pith_short_16: TQU3Q622DFOGXIVD · pith_short_8: TQU3Q622

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/TQU3Q622DFOGXIVDAP64YAMYHX \
  | 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: 9c29b87b5a195c6ba2a303fdcc01983ddc6b4e928aa6cd3a5f132d40f2d783df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0caef7e2084ea057295de69775e125b79af702c01d40211958f051f254fd48e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-06T08:57:39Z",
    "title_canon_sha256": "0eca6eb46c6c810fc55ec29e625835b9acf2c8d7622d081d329f797b80885e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02248",
    "kind": "arxiv",
    "version": 1
  }
}