Pith Number

pith:L4INBCP7

pith:2015:L4INBCP7XKVMN7GZHIPTWHTJWM

not attested not anchored not stored refs pending

Sorting Index and Mahonian-Stirling Pairs for Labeled Forests

Amy Grady, Svetlana Poznanovik

arxiv:1508.05157 v1 · 2015-08-21 · 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{L4INBCP7XKVMN7GZHIPTWHTJWM}

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	2026-05-18T01:34:56.565069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f10d089ffbaaac6fcd93a1f3b1e69b331aea461ccb46b3cc69752c41d910f46

Aliases

arxiv: 1508.05157 · arxiv_version: 1508.05157v1 · doi: 10.48550/arxiv.1508.05157 · pith_short_12: L4INBCP7XKVM · pith_short_16: L4INBCP7XKVMN7GZ · pith_short_8: L4INBCP7

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/L4INBCP7XKVMN7GZHIPTWHTJWM \
  | 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: 5f10d089ffbaaac6fcd93a1f3b1e69b331aea461ccb46b3cc69752c41d910f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300fe5bae1826be2db8aede87879d8010680e17f58aa2eac0ea25363292c2b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-21T00:42:13Z",
    "title_canon_sha256": "95104f00714ecfe7436f7cf51c5900d212c0c0c5dffbc485bc313313ecc03c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05157",
    "kind": "arxiv",
    "version": 1
  }
}