Pith Number

pith:3PM26LJQ

pith:2020:3PM26LJQLKXYDPFPSAJUYWZN3A

not attested not anchored not stored refs pending

On sums of four pentagonal numbers with coefficients

Dmitry Krachun, Zhi-Wei Sun

arxiv:2001.05325 v4 · 2020-01-14 · 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{3PM26LJQLKXYDPFPSAJUYWZN3A}

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	2026-07-05T00:51:38.347944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd9af2d305aaf81bcaf90134c5b2dd80f0369b84659d96e0415683bd0cf1b34

Aliases

arxiv: 2001.05325 · arxiv_version: 2001.05325v4 · doi: 10.48550/arxiv.2001.05325 · pith_short_12: 3PM26LJQLKXY · pith_short_16: 3PM26LJQLKXYDPFP · pith_short_8: 3PM26LJQ

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/3PM26LJQLKXYDPFPSAJUYWZN3A \
  | 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: dbd9af2d305aaf81bcaf90134c5b2dd80f0369b84659d96e0415683bd0cf1b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aecadab99e3b9197e86520c7d30987e08df201fceae3cdd77178db76d0690cb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-01-14T14:59:35Z",
    "title_canon_sha256": "2aba0bae5653b71ad30b01cb88ed0dc4e90b2f185fb9951d7a7efaec98674185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.05325",
    "kind": "arxiv",
    "version": 4
  }
}