Pith Number

pith:3EOOSFVP

pith:2024:3EOOSFVPNPHZB7KVNDBKRA4NXF

not attested not anchored not stored refs pending

Fixed points and cycles of parking functions

Martin Rubey, Mei Yin

arxiv:2403.17110 v3 · 2024-03-25 · 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{3EOOSFVPNPHZB7KVNDBKRA4NXF}

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	2026-07-05T09:53:00.062519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91ce916af6bcf90fd5568c2a8838db94d10c215281143f24aa64dc83f64c5c1

Aliases

arxiv: 2403.17110 · arxiv_version: 2403.17110v3 · doi: 10.48550/arxiv.2403.17110 · pith_short_12: 3EOOSFVPNPHZ · pith_short_16: 3EOOSFVPNPHZB7KV · pith_short_8: 3EOOSFVP

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/3EOOSFVPNPHZB7KVNDBKRA4NXF \
  | 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: d91ce916af6bcf90fd5568c2a8838db94d10c215281143f24aa64dc83f64c5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc0f3b230ccbd6bb385c045b9f57482e1a361cff320bd835dd104bd7c974683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-25T18:47:48Z",
    "title_canon_sha256": "f40140eb435386d60ccca9c4043230058be24f8a1800a2eb57ece1d0dda15ea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.17110",
    "kind": "arxiv",
    "version": 3
  }
}