Pith Number

pith:ITY6LPPX

pith:2016:ITY6LPPXAY5TITX22ET3WXZ3CV

not attested not anchored not stored refs pending

The number of parking functions with center of a given length

Ant\'onio Guedes de Oliveira, Rui Duarte

arxiv:1611.03707 v2 · 2016-11-11 · 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{ITY6LPPXAY5TITX22ET3WXZ3CV}

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	2026-05-18T00:49:23.365469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44f1e5bdf7063b344efad127bb5f3b1541df2e31d5663a0cda1ea0b22a708643

Aliases

arxiv: 1611.03707 · arxiv_version: 1611.03707v2 · doi: 10.48550/arxiv.1611.03707 · pith_short_12: ITY6LPPXAY5T · pith_short_16: ITY6LPPXAY5TITX2 · pith_short_8: ITY6LPPX

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/ITY6LPPXAY5TITX22ET3WXZ3CV \
  | 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: 44f1e5bdf7063b344efad127bb5f3b1541df2e31d5663a0cda1ea0b22a708643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "525b830fc785a29d4bc3fb3f968e62c90568d151e4cd1d3892698c5c9ad02be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-11T14:06:20Z",
    "title_canon_sha256": "f08f772f72bdb1841f93ca671f98897afac1c5ee772bb2da16ca3ee036b69613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03707",
    "kind": "arxiv",
    "version": 2
  }
}