Pith Number

pith:K6IDYIXX

pith:2015:K6IDYIXXI7QRZXTZTJJAGOUOVJ

not attested not anchored not stored refs pending

Lattice points and simultaneous core partitions

Paul Johnson

arxiv:1502.07934 v2 · 2015-02-27 · 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{K6IDYIXXI7QRZXTZTJJAGOUOVJ}

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.

Cited by

1 paper in Pith

Lattice Points and Rational $q$-Catalan Numbers

Receipt and verification

First computed	2026-05-18T01:40:58.792634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57903c22f747e11cde799a52033a8eaa59730526a03bebfbfb0b782b3d4ff367

Aliases

arxiv: 1502.07934 · arxiv_version: 1502.07934v2 · doi: 10.48550/arxiv.1502.07934 · pith_short_12: K6IDYIXXI7QR · pith_short_16: K6IDYIXXI7QRZXTZ · pith_short_8: K6IDYIXX

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/K6IDYIXXI7QRZXTZTJJAGOUOVJ \
  | 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: 57903c22f747e11cde799a52033a8eaa59730526a03bebfbfb0b782b3d4ff367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380eb0c75018c8ba43ddfc6b3da2ba2ba7c87a9c18bc368780d7e2293d75a840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-27T15:25:34Z",
    "title_canon_sha256": "dfa0bde7ac95fed7537f343f94ba7995f5a8c3475d43cdc28c64458618fe1939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07934",
    "kind": "arxiv",
    "version": 2
  }
}