Pith Number

pith:OO6ORLH5

pith:2026:OO6ORLH5PDPBU7SQU6MHY7R6PX

not attested not anchored not stored refs pending

Parking completions are $\mathbf{x}$-parking functions

Kimberly P. Hadaway

arxiv:2607.16098 v1 · 2026-07-17 · 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{OO6ORLH5PDPBU7SQU6MHY7R6PX}

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	2026-07-20T02:19:30.752394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73bce8acfd78de1a7e50a7987c7e3e7dffec8047c2f2183ca501df705ac11c38

Aliases

arxiv: 2607.16098 · arxiv_version: 2607.16098v1 · doi: 10.48550/arxiv.2607.16098 · pith_short_12: OO6ORLH5PDPB · pith_short_16: OO6ORLH5PDPBU7SQ · pith_short_8: OO6ORLH5

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/OO6ORLH5PDPBU7SQU6MHY7R6PX \
  | 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: 73bce8acfd78de1a7e50a7987c7e3e7dffec8047c2f2183ca501df705ac11c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c259678c82366a692f4c890b1b49526468fb8962fd35f50109912bb56884ce16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-17T16:32:17Z",
    "title_canon_sha256": "15cc03951c611fc1d572f3c28cfeb347c5dde83e7db18124231ce853f28202b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16098",
    "kind": "arxiv",
    "version": 1
  }
}