Pith Number

pith:RYFUB5OK

pith:2024:RYFUB5OK7IKKQNVIV5CGFP4AZ7

not attested not anchored not stored refs pending

Skeletal generalizations of Dyck paths, parking functions, and chip-firing games

Cole Charbonneau, Gregory S. Warrington, Mazie O'Connor, Nicholas A. Loehr, Patrick Mullins, Spencer Backman

arxiv:2408.06923 v1 · 2024-08-13 · 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{RYFUB5OK7IKKQNVIV5CGFP4AZ7}

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	2026-07-05T08:55:03.758036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0b40f5cafa14a836a8af4462bf80cfeccebc2bdfe9ea9f799387ef21dc6072

Aliases

arxiv: 2408.06923 · arxiv_version: 2408.06923v1 · doi: 10.48550/arxiv.2408.06923 · pith_short_12: RYFUB5OK7IKK · pith_short_16: RYFUB5OK7IKKQNVI · pith_short_8: RYFUB5OK

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/RYFUB5OK7IKKQNVIV5CGFP4AZ7 \
  | 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: 8e0b40f5cafa14a836a8af4462bf80cfeccebc2bdfe9ea9f799387ef21dc6072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebcf097fb27beffc0493fac3c047ac62965127a39859ef77035f2a20d434d3d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-13T14:15:22Z",
    "title_canon_sha256": "0434ac040b41ebefe638d8220730d932907471b4a14cbec344f7127249787eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06923",
    "kind": "arxiv",
    "version": 1
  }
}