Pith Number

pith:7XEQZGV4

pith:2019:7XEQZGV4M5XQ7EM5RIY3SHID6R

not attested not anchored not stored refs pending

Parking Functions on Directed Graphs and Some Directed Trees

Catherine Yan, Westin King

arxiv:1905.12010 v1 · 2019-05-28 · 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{7XEQZGV4M5XQ7EM5RIY3SHID6R}

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	2026-05-17T23:44:49.217512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdc90c9abc676f0f919d8a31b91d03f478c624302fb05230dd82a15dc8c37c5b

Aliases

arxiv: 1905.12010 · arxiv_version: 1905.12010v1 · doi: 10.48550/arxiv.1905.12010 · pith_short_12: 7XEQZGV4M5XQ · pith_short_16: 7XEQZGV4M5XQ7EM5 · pith_short_8: 7XEQZGV4

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/7XEQZGV4M5XQ7EM5RIY3SHID6R \
  | 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: fdc90c9abc676f0f919d8a31b91d03f478c624302fb05230dd82a15dc8c37c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1230e108dc78cb79129e5352e132fa6b34d16a46d35f5bcb92b028b7b43bf12",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-28T18:16:05Z",
    "title_canon_sha256": "1b1630d11b58f366049ff3e32075b5936e17f3d41d402c9b16b4b1df21465777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12010",
    "kind": "arxiv",
    "version": 1
  }
}