Pith Number

pith:QCQBCMV4

pith:2018:QCQBCMV4DWIWI5SF7ZBNKIAVDP

not attested not anchored not stored refs pending

A further look at the truncated pentagonal number theorem

Shane Chern

arxiv:1808.00227 v1 · 2018-08-01 · 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{QCQBCMV4DWIWI5SF7ZBNKIAVDP}

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	2026-05-18T00:09:08.356519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a01132bc1d91647645fe42d520151bc1f3e56da304ba9e9d6bb29b0b7e5ae1

Aliases

arxiv: 1808.00227 · arxiv_version: 1808.00227v1 · doi: 10.48550/arxiv.1808.00227 · pith_short_12: QCQBCMV4DWIW · pith_short_16: QCQBCMV4DWIWI5SF · pith_short_8: QCQBCMV4

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/QCQBCMV4DWIWI5SF7ZBNKIAVDP \
  | 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: 80a01132bc1d91647645fe42d520151bc1f3e56da304ba9e9d6bb29b0b7e5ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897a9fdb7c013134af088fb0f52d2c83829813baf98434611fa07ee13c6841ac",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-01T08:47:52Z",
    "title_canon_sha256": "e7b533295e9bcee3f029436ba5e7aedeee45eee91ff8c5a2a9409c5aa483e871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00227",
    "kind": "arxiv",
    "version": 1
  }
}