Pith Number

pith:LIXC5GJQ

pith:2018:LIXC5GJQA5CMYUMSYUQPEJ6SB7

not attested not anchored not stored refs pending

Counting partitions inside a rectangle

Greta Panova, Robin Pemantle, Stephen Melczer

arxiv:1805.08375 v3 · 2018-05-22 · math.CO · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIXC5GJQA5CMYUMSYUQPEJ6SB7}

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	2026-05-17T23:54:54.319915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2e2e99300744cc5192c520f227d20ff790cc78f5e1a40744e7a987b5a617eb

Aliases

arxiv: 1805.08375 · arxiv_version: 1805.08375v3 · doi: 10.48550/arxiv.1805.08375 · pith_short_12: LIXC5GJQA5CM · pith_short_16: LIXC5GJQA5CMYUMS · pith_short_8: LIXC5GJQ

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/LIXC5GJQA5CMYUMSYUQPEJ6SB7 \
  | 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: 5a2e2e99300744cc5192c520f227d20ff790cc78f5e1a40744e7a987b5a617eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb76dfefb0b4ea949593f550d89fea4feb3a5b6fa89ccfeb89235c5b89e82a43",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-22T03:35:23Z",
    "title_canon_sha256": "4945af9faf1697bcd0abb7c2b3e8482cd299200f8bfe907ec6e88026aa6a37c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08375",
    "kind": "arxiv",
    "version": 3
  }
}