Pith Number

pith:Z6PLTS7O

pith:2026:Z6PLTS7OWFD5SK4PULQKV55J6B

not attested not anchored not stored refs pending

Enumeration of certain subsets of uprooted trees and spherical parking functions

Chanchal Kumar, Gargi Lather, Nayana Shibu Deepthi

arxiv:2606.11137 v1 · 2026-06-09 · math.CO · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6PLTS7OWFD5SK4PULQKV55J6B}

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	2026-06-10T01:11:13.061786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9eb9cbeeb147d92b8fa2e0aaf7a9f0786375f7b54f9ad76d3c112da5874d51

Aliases

arxiv: 2606.11137 · arxiv_version: 2606.11137v1 · doi: 10.48550/arxiv.2606.11137 · pith_short_12: Z6PLTS7OWFD5 · pith_short_16: Z6PLTS7OWFD5SK4P · pith_short_8: Z6PLTS7O

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/Z6PLTS7OWFD5SK4PULQKV55J6B \
  | 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: cf9eb9cbeeb147d92b8fa2e0aaf7a9f0786375f7b54f9ad76d3c112da5874d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92d367d142ae8b76621da08a8b5d64c247861869dd5979f85b28bf630ff3642",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T17:28:43Z",
    "title_canon_sha256": "a681f3374776c956e54362702dc0ef69e86bcc447f7dd0750943e80a095a0750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11137",
    "kind": "arxiv",
    "version": 1
  }
}