Pith Number

pith:XZOCN7LW

pith:2018:XZOCN7LWUDZ5PE4WFYZ5B7A7OY

not attested not anchored not stored refs pending

The number of representations by a ternary sum of triangular numbers

Byeong-Kweon Oh, Mingyu Kim

arxiv:1801.04836 v1 · 2018-01-15 · 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{XZOCN7LWUDZ5PE4WFYZ5B7A7OY}

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	2026-05-18T00:26:03.089570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5c26fd76a0f3d793962e33d0fc1f7635e40f5947fdf97625434649679731a7

Aliases

arxiv: 1801.04836 · arxiv_version: 1801.04836v1 · doi: 10.48550/arxiv.1801.04836 · pith_short_12: XZOCN7LWUDZ5 · pith_short_16: XZOCN7LWUDZ5PE4W · pith_short_8: XZOCN7LW

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/XZOCN7LWUDZ5PE4WFYZ5B7A7OY \
  | 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: be5c26fd76a0f3d793962e33d0fc1f7635e40f5947fdf97625434649679731a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a9acc6d83b4524e30a5168cdda079b60833222636674c7f116f788ffcd64e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-15T15:05:44Z",
    "title_canon_sha256": "bea89f0dbd8a9f2b7a9336a25ad77d58ffbe8da8029123df09246a082a6a2d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04836",
    "kind": "arxiv",
    "version": 1
  }
}