Pith Number

pith:PFWF5GBK

pith:2012:PFWF5GBKVQLWO6W5DMVJV4H6JA

not attested not anchored not stored refs pending

On the Number of Partitions with Designated Summands

Erin Y. Y. Shen, Hai-Tao Jin, Kathy Q. Ji, William Y. C. Chen

arxiv:1208.2210 v1 · 2012-08-10 · 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{PFWF5GBKVQLWO6W5DMVJV4H6JA}

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	2026-05-18T03:48:59.872419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796c5e982aac17677add1b2a9af0fe4823607b2e573630e9bfbc4436f5e84615

Aliases

arxiv: 1208.2210 · arxiv_version: 1208.2210v1 · doi: 10.48550/arxiv.1208.2210 · pith_short_12: PFWF5GBKVQLW · pith_short_16: PFWF5GBKVQLWO6W5 · pith_short_8: PFWF5GBK

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/PFWF5GBKVQLWO6W5DMVJV4H6JA \
  | 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: 796c5e982aac17677add1b2a9af0fe4823607b2e573630e9bfbc4436f5e84615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14c560dcc66fd7740a86c8951080d4364e1938c2c3c15d43f18ad5914e4d02d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-10T16:13:54Z",
    "title_canon_sha256": "a7a200e0730358abc6972dcc0106d0aaa686bcd73fa8baf1ffa48bb53a9a50f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2210",
    "kind": "arxiv",
    "version": 1
  }
}