Pith Number

pith:3ERTNDCZ

pith:2016:3ERTNDCZX6BFE2HNE56JEJIKAC

not attested not anchored not stored refs pending

New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions

Alexander Berkovich, Ali Kemal Uncu

arxiv:1608.00193 v2 · 2016-07-31 · 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{3ERTNDCZX6BFE2HNE56JEJIKAC}

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	2026-05-18T00:59:20.046454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d923368c59bf825268ed277c92250a0099f47635e25236d24cf53ec375f9c00f

Aliases

arxiv: 1608.00193 · arxiv_version: 1608.00193v2 · doi: 10.48550/arxiv.1608.00193 · pith_short_12: 3ERTNDCZX6BF · pith_short_16: 3ERTNDCZX6BFE2HN · pith_short_8: 3ERTNDCZ

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/3ERTNDCZX6BFE2HNE56JEJIKAC \
  | 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: d923368c59bf825268ed277c92250a0099f47635e25236d24cf53ec375f9c00f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee00ec5020db18b7bb44fc8a98f65901fc34c6179854ff9364517d609ff19510",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-31T06:54:46Z",
    "title_canon_sha256": "ce159a6adce5bb6dac72c9e459d6881004d4a8869583061e8f3e6d6f9a299a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00193",
    "kind": "arxiv",
    "version": 2
  }
}