Pith Number

pith:TGDSZYJX

pith:2024:TGDSZYJXWB2LMGNWASVA7T6YLC

not attested not anchored not stored refs pending

Sums of four polygonal numbers: precise formulas

Haowu Wang, Jialin Li

arxiv:2405.14710 v2 · 2024-05-23 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGDSZYJXWB2LMGNWASVA7T6YLC}

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.

Cited by

1 paper in Pith

Receipt and verification

First computed	2026-07-05T11:24:04.253918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99872ce137b074b619b604aa0fcfd858924508cb4c9d8fc4641e41509ab7d568

Aliases

arxiv: 2405.14710 · arxiv_version: 2405.14710v2 · doi: 10.48550/arxiv.2405.14710 · pith_short_12: TGDSZYJXWB2L · pith_short_16: TGDSZYJXWB2LMGNW · pith_short_8: TGDSZYJX

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/TGDSZYJXWB2LMGNWASVA7T6YLC \
  | 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: 99872ce137b074b619b604aa0fcfd858924508cb4c9d8fc4641e41509ab7d568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d77426355d0ae9dd9dca2ef5ed2943a7c7f0869b3e9f945ba537688e3524d7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-23T15:43:05Z",
    "title_canon_sha256": "8767c82aca5c305f917b69a9808f63e73f1e60b2a2b33cafb5b2f69fe16194c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.14710",
    "kind": "arxiv",
    "version": 2
  }
}