Pith Number

pith:VFHH5JDX

pith:2010:VFHH5JDXMBFYYWFXGLMUQO6EP4

not attested not anchored not stored refs pending

Ternary Sums of Squares and Triangular Numbers

Anna Haensch, Wai Kiu Chan

arxiv:1009.5402 v4 · 2010-09-27 · 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{VFHH5JDXMBFYYWFXGLMUQO6EP4}

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	2026-05-18T04:31:23.240041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94e7ea477604b8c58b732d9483bc47f3cb6186ab604641b2257ae6eb4eed3d8

Aliases

arxiv: 1009.5402 · arxiv_version: 1009.5402v4 · doi: 10.48550/arxiv.1009.5402 · pith_short_12: VFHH5JDXMBFY · pith_short_16: VFHH5JDXMBFYYWFX · pith_short_8: VFHH5JDX

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/VFHH5JDXMBFYYWFXGLMUQO6EP4 \
  | 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: a94e7ea477604b8c58b732d9483bc47f3cb6186ab604641b2257ae6eb4eed3d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "226607d7f071cd585a8a463d419a7a5c284068962d5eea3daa39de29dfb4af00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-27T21:31:46Z",
    "title_canon_sha256": "9eba734125b73fe60c4618bc604a04e9bb809635d99eaa3f6c1a0174f7fbe513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5402",
    "kind": "arxiv",
    "version": 4
  }
}