Pith Number

pith:MBDWXIZH

pith:2025:MBDWXIZHXEHFVNCMAXGLXYTILW

not attested not anchored not stored refs pending

Two-color partitions with evens in one color

George E. Andrews, Mohamed El Bachraoui

arxiv:2512.23391 v2 · 2025-12-29 · 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{MBDWXIZHXEHFVNCMAXGLXYTILW}

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

Arithmetic Properties of Overcolored Odd Partitions

Receipt and verification

First computed	2026-05-25T02:01:11.460194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60476ba327b90e5ab44c05ccbbe2685d8b6b1e273c4c2d6e9aff1a490cb48e47

Aliases

arxiv: 2512.23391 · arxiv_version: 2512.23391v2 · doi: 10.48550/arxiv.2512.23391 · pith_short_12: MBDWXIZHXEHF · pith_short_16: MBDWXIZHXEHFVNCM · pith_short_8: MBDWXIZH

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/MBDWXIZHXEHFVNCMAXGLXYTILW \
  | 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: 60476ba327b90e5ab44c05ccbbe2685d8b6b1e273c4c2d6e9aff1a490cb48e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1562faf671a920fa21ab40189c1685f1a553fc5ff6f2368f69193edb142dc57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-29T11:27:22Z",
    "title_canon_sha256": "08d99abcbe819bb0cf301287ace2787bb455c44093f923ca29e238478baa0279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.23391",
    "kind": "arxiv",
    "version": 2
  }
}