Pith Number

pith:UOT6FK6S

pith:2015:UOT6FK6SLER4M6MRR34AGYPQMF

not attested not anchored not stored refs pending

On the number of representations of n as a linear combination of four triangular numbers

Min Wang, Zhi-Hong Sun

arxiv:1507.03485 v3 · 2015-07-13 · 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{UOT6FK6SLER4M6MRR34AGYPQMF}

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	2026-05-18T01:28:13.983598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a7e2abd25923c679918ef80361f0614a697fa5912ea2e773fd06f606ab859f

Aliases

arxiv: 1507.03485 · arxiv_version: 1507.03485v3 · doi: 10.48550/arxiv.1507.03485 · pith_short_12: UOT6FK6SLER4 · pith_short_16: UOT6FK6SLER4M6MR · pith_short_8: UOT6FK6S

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/UOT6FK6SLER4M6MRR34AGYPQMF \
  | 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: a3a7e2abd25923c679918ef80361f0614a697fa5912ea2e773fd06f606ab859f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b9b4c55ef73a9a9514cf1a822997482cfee9a854da67d49ab71ae80d177d48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-13T14:59:11Z",
    "title_canon_sha256": "c4c65f9d51a2f920c083d9532b2e1a0a28f2fdbb5e54fdb9a0dbf2c35dd6ba22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03485",
    "kind": "arxiv",
    "version": 3
  }
}