Pith Number

pith:ZBPXMXFW

pith:2018:ZBPXMXFWKULTHBFWVUZ2LJUBVA

not attested not anchored not stored refs pending

On the divisibility of some truncated hypergeometric series

Guo-Shuai Mao, Hao Pan

arxiv:1801.02213 v2 · 2018-01-07 · 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{ZBPXMXFWKULTHBFWVUZ2LJUBVA}

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	2026-05-18T00:22:02.389730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c85f765cb655173384b6ad33a5a681a8334850b35f118df6cde6b4d190890933

Aliases

arxiv: 1801.02213 · arxiv_version: 1801.02213v2 · doi: 10.48550/arxiv.1801.02213 · pith_short_12: ZBPXMXFWKULT · pith_short_16: ZBPXMXFWKULTHBFW · pith_short_8: ZBPXMXFW

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/ZBPXMXFWKULTHBFWVUZ2LJUBVA \
  | 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: c85f765cb655173384b6ad33a5a681a8334850b35f118df6cde6b4d190890933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8caa13fe92aac658fbe263c67506c33578436ab53af963cf39c7601789356a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-07T16:57:43Z",
    "title_canon_sha256": "d33d92f28a75386a7e7dd0486e16f48052e7ebf863ae660381b5f9d2c1f4aab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02213",
    "kind": "arxiv",
    "version": 2
  }
}