Pith Number

pith:KDOKGLHO

pith:2015:KDOKGLHOW5B5KJCICWAVYPZ6VU

not attested not anchored not stored refs pending

The number of representations of squares by integral ternary quadratic forms

Byeong-Kweon Oh, Kyoungmin Kim

arxiv:1509.09111 v1 · 2015-09-30 · 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{KDOKGLHOW5B5KJCICWAVYPZ6VU}

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	2026-05-18T01:31:27.133801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50dca32ceeb743d5244815815c3f3ead354b5e1e657e3dba4b2b41b0203ae6d3

Aliases

arxiv: 1509.09111 · arxiv_version: 1509.09111v1 · doi: 10.48550/arxiv.1509.09111 · pith_short_12: KDOKGLHOW5B5 · pith_short_16: KDOKGLHOW5B5KJCI · pith_short_8: KDOKGLHO

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/KDOKGLHOW5B5KJCICWAVYPZ6VU \
  | 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: 50dca32ceeb743d5244815815c3f3ead354b5e1e657e3dba4b2b41b0203ae6d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787d9a50b6dae6c898b93000b7500800c80273a1c39175c31c659666ef3f5399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-30T10:15:45Z",
    "title_canon_sha256": "fb05a1dec0903f1143fa4afd1130f21020a60ab83d9be3e64898459331d35d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09111",
    "kind": "arxiv",
    "version": 1
  }
}