Pith Number

pith:6M2ZMB5Q

pith:2016:6M2ZMB5Q32ILVUBFJK27METXG6

not attested not anchored not stored refs pending

A Decomposition of Parking Functions by Undesired Spaces

Ian Nicolas, Max Hlavacek, Melody Bruce, Michael Dougherty, Ryo Kudo

arxiv:1602.02175 v1 · 2016-02-05 · 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{6M2ZMB5Q32ILVUBFJK27METXG6}

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	2026-05-18T01:06:40.822882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3359607b0de90bad0254ab5f612773786e2b6a44693d03fad5de8bd8d87189c

Aliases

arxiv: 1602.02175 · arxiv_version: 1602.02175v1 · doi: 10.48550/arxiv.1602.02175 · pith_short_12: 6M2ZMB5Q32IL · pith_short_16: 6M2ZMB5Q32ILVUBF · pith_short_8: 6M2ZMB5Q

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/6M2ZMB5Q32ILVUBFJK27METXG6 \
  | 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: f3359607b0de90bad0254ab5f612773786e2b6a44693d03fad5de8bd8d87189c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a6faf93d148e242fcf02a4b0c41e12ef5ea963dfc9825d302c305a5dc1b973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-05T22:03:36Z",
    "title_canon_sha256": "7b8c24f0a9d18921037db070362f7d78afbfbc5bc2e049b6caffa30fb70a6947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02175",
    "kind": "arxiv",
    "version": 1
  }
}