Pith Number

pith:5RUJV3KR

pith:2014:5RUJV3KR4DFRXPX35YQPGJQWFS

not attested not anchored not stored refs pending

A short Proof of a conjecture by Hirschhorn and Sellers on Overpartitions

Liuquan Wang

arxiv:1407.5430 v1 · 2014-07-21 · 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{5RUJV3KR4DFRXPX35YQPGJQWFS}

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	2026-05-18T02:47:13.995751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec689aed51e0cb1bbefbee20f326162ca743c59929ad1329a4ad9c0eee089ba9

Aliases

arxiv: 1407.5430 · arxiv_version: 1407.5430v1 · doi: 10.48550/arxiv.1407.5430 · pith_short_12: 5RUJV3KR4DFR · pith_short_16: 5RUJV3KR4DFRXPX3 · pith_short_8: 5RUJV3KR

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/5RUJV3KR4DFRXPX35YQPGJQWFS \
  | 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: ec689aed51e0cb1bbefbee20f326162ca743c59929ad1329a4ad9c0eee089ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb82832361845111d87a1c363784b341c97a07be613c9d41331cee9072c5214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-21T09:30:29Z",
    "title_canon_sha256": "271b569efe4f933fa336e84602af11b00a70a897f0fbd6aa4137dbda70e8cd79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5430",
    "kind": "arxiv",
    "version": 1
  }
}