Pith Number

pith:GPAVD25J

pith:2025:GPAVD25JHZZINYUC73Z5LUV7GK

not attested not anchored not stored refs pending

A refined view of a curious identity for partitions into odd parts with designated summands

James Sellers, Shishuo Fu

arxiv:2505.21111 v1 · 2025-05-27 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPAVD25JHZZINYUC73Z5LUV7GK}

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	2026-07-05T11:10:23.852024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c151eba93e7286e282fef3d5d2bf32bfc065503ea778893f5d1494ab87aca5

Aliases

arxiv: 2505.21111 · arxiv_version: 2505.21111v1 · doi: 10.48550/arxiv.2505.21111 · pith_short_12: GPAVD25JHZZI · pith_short_16: GPAVD25JHZZINYUC · pith_short_8: GPAVD25J

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/GPAVD25JHZZINYUC73Z5LUV7GK \
  | 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: 33c151eba93e7286e282fef3d5d2bf32bfc065503ea778893f5d1494ab87aca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e087128014b8f04548d4cd5839b46e298d1efbb3e8099943a63aaeb7bbd62e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-27T12:32:36Z",
    "title_canon_sha256": "281562fe7f372fca5b40d764d1aac4ae9691d27bc5f4238c2ae594c10764e5ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21111",
    "kind": "arxiv",
    "version": 1
  }
}