Pith Number

pith:H3EELNFO

pith:2017:H3EELNFOKPKJLL27LFQGJVMSZ7

not attested not anchored not stored refs pending

An overpartition analogue of $q$-binomial coefficients, II: combinatorial proofs and $(q,t)$-log concavity

Byungchan Kim, Jehanne Dousse

arxiv:1701.07915 v2 · 2017-01-27 · 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{H3EELNFOKPKJLL27LFQGJVMSZ7}

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	2026-05-18T00:40:07.359954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec845b4ae53d495af5f596064d592cfde921eeed96eb26d1fedae818fae9fd6

Aliases

arxiv: 1701.07915 · arxiv_version: 1701.07915v2 · doi: 10.48550/arxiv.1701.07915 · pith_short_12: H3EELNFOKPKJ · pith_short_16: H3EELNFOKPKJLL27 · pith_short_8: H3EELNFO

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/H3EELNFOKPKJLL27LFQGJVMSZ7 \
  | 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: 3ec845b4ae53d495af5f596064d592cfde921eeed96eb26d1fedae818fae9fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257ac7291e0769f991593a1b34b9f5e5b653b81cacd14f9a9daddc513d3285d8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-27T00:53:21Z",
    "title_canon_sha256": "da2d8ccb764bb9a15434f5d7f20f8ced3bf5352a41fc6b8bce0112042e0bd795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07915",
    "kind": "arxiv",
    "version": 2
  }
}