Pith Number

pith:3B4PP34F

pith:2024:3B4PP34F647PYVEGPGSTDCHQ4Z

not attested not anchored not stored refs pending

Euler-type recurrences for $t$-color and $t$-regular partition functions

Dongxi Ye, Tapas Bhowmik, Wei-Lun Tsai

arxiv:2412.14344 v2 · 2024-12-18 · 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{3B4PP34F647PYVEGPGSTDCHQ4Z}

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	2026-07-05T09:53:09.396501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d878f7ef85f73efc548679a53188f0e67f04edbeabe52427d31a23081d4ac559

Aliases

arxiv: 2412.14344 · arxiv_version: 2412.14344v2 · doi: 10.48550/arxiv.2412.14344 · pith_short_12: 3B4PP34F647P · pith_short_16: 3B4PP34F647PYVEG · pith_short_8: 3B4PP34F

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/3B4PP34F647PYVEGPGSTDCHQ4Z \
  | 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: d878f7ef85f73efc548679a53188f0e67f04edbeabe52427d31a23081d4ac559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e892d84af03cac364c31fc1f48775fbd9fbf56fbc2d4c036badd573ae652cf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-18T21:29:16Z",
    "title_canon_sha256": "f15c57bb856941dfd9f83693c9c3d4e8f1e0f01f9b9ae9f12b92cd4fb9e5e87d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14344",
    "kind": "arxiv",
    "version": 2
  }
}