Pith Number

pith:BCF6NMLJ

pith:2011:BCF6NMLJ4ROLE7GZ3QWGXFEQ4L

not attested not anchored not stored refs pending

On the enumeration of rooted trees with fixed size of maximal decreasing trees

Heesung Shin, Seunghyun Seo

arxiv:1106.1290 v2 · 2011-06-07 · 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{BCF6NMLJ4ROLE7GZ3QWGXFEQ4L}

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	2026-07-05T04:06:38.682080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088be6b169e45cb27cd9dc2c6b9490e2f6ad6b2e7d1666fdb984d3a69d7135a1

Aliases

arxiv: 1106.1290 · arxiv_version: 1106.1290v2 · doi: 10.48550/arxiv.1106.1290 · pith_short_12: BCF6NMLJ4ROL · pith_short_16: BCF6NMLJ4ROLE7GZ · pith_short_8: BCF6NMLJ

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/BCF6NMLJ4ROLE7GZ3QWGXFEQ4L \
  | 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: 088be6b169e45cb27cd9dc2c6b9490e2f6ad6b2e7d1666fdb984d3a69d7135a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5f0ecd5955e26e72c7dae5d406d95f7c0b5f433a96b69ce8305a80839020d53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-07T09:17:24Z",
    "title_canon_sha256": "b77ef37654e5b3ea9c192c44dbc4b84cea3d81cfcc3d8b63774fdd96b5323931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1290",
    "kind": "arxiv",
    "version": 2
  }
}