Pith Number

pith:JMMLM5QI

pith:2014:JMMLM5QIJJWYFL4NW6D3TMFDXQ

not attested not anchored not stored refs pending

An overpartition analogue of the $q$-binomial coefficients

Byungchan Kim, Jehanne Dousse

arxiv:1410.5301 v2 · 2014-10-20 · math.CO · 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{JMMLM5QIJJWYFL4NW6D3TMFDXQ}

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	2026-05-18T02:30:25.568381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b18b676084a6d82af8db787b9b0a3bc079f5a9c6f9f467991029ea5ba8653f7

Aliases

arxiv: 1410.5301 · arxiv_version: 1410.5301v2 · doi: 10.48550/arxiv.1410.5301 · pith_short_12: JMMLM5QIJJWY · pith_short_16: JMMLM5QIJJWYFL4N · pith_short_8: JMMLM5QI

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/JMMLM5QIJJWYFL4NW6D3TMFDXQ \
  | 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: 4b18b676084a6d82af8db787b9b0a3bc079f5a9c6f9f467991029ea5ba8653f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584984880d0b0b05c6e1cd5774602ed5658317caf6e4aa9e6d219da946493c21",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-20T14:46:59Z",
    "title_canon_sha256": "09632d3d3d73b8157dec1d54f2d7cfe5be15ceec8e149b201e87e14f4a8b49ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5301",
    "kind": "arxiv",
    "version": 2
  }
}