Pith Number

pith:DHG2K3AT

pith:2019:DHG2K3AT3TQIXQ3PEXLIPRVLUR

not attested not anchored not stored refs pending

Limit Shape of Subpartition Maximizing Partitions

Ivan Corwin, Shalin Parekh

arxiv:1907.09628 v1 · 2019-07-22 · math.PR · 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{DHG2K3AT3TQIXQ3PEXLIPRVLUR}

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	2026-07-05T00:36:29.292027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19cda56c13dce08bc36f25d687c6aba46efcbe55295500f2c8c51be517cd3266

Aliases

arxiv: 1907.09628 · arxiv_version: 1907.09628v1 · doi: 10.48550/arxiv.1907.09628 · pith_short_12: DHG2K3AT3TQI · pith_short_16: DHG2K3AT3TQIXQ3P · pith_short_8: DHG2K3AT

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/DHG2K3AT3TQIXQ3PEXLIPRVLUR \
  | 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: 19cda56c13dce08bc36f25d687c6aba46efcbe55295500f2c8c51be517cd3266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38379268e6bf65cd8994ad9ef4c5c43a8b87b807be823bfecc0f3d282abf135b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-22T23:26:08Z",
    "title_canon_sha256": "9af1075e0713b77677f53872bdc1874caf917f4b8cd5b1256472710afad9cf0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09628",
    "kind": "arxiv",
    "version": 1
  }
}