Pith Number

pith:AEQWLQU3

pith:2011:AEQWLQU3FMTBEGUSKVM2P24VUH

not attested not anchored not stored refs pending

Bijections on rooted trees with fixed size of maximal decreasing subtrees

Jang Soo Kim

arxiv:1108.6038 v1 · 2011-08-30 · 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{AEQWLQU3FMTBEGUSKVM2P24VUH}

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	2026-05-18T04:14:27.971404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

012165c29b2b26121a925559a7eb95a1edbd546543e39bb9cac2b955f151f6cd

Aliases

arxiv: 1108.6038 · arxiv_version: 1108.6038v1 · doi: 10.48550/arxiv.1108.6038 · pith_short_12: AEQWLQU3FMTB · pith_short_16: AEQWLQU3FMTBEGUS · pith_short_8: AEQWLQU3

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/AEQWLQU3FMTBEGUSKVM2P24VUH \
  | 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: 012165c29b2b26121a925559a7eb95a1edbd546543e39bb9cac2b955f151f6cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2600a77382246fa91703a9ffff79388bfb8a775c6fe26ac2c00ed821d1047b0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-30T19:07:15Z",
    "title_canon_sha256": "ba7a9bcb9366a82ef3e8fe714059914850a0440a50953087a710ea8b0d82dc41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6038",
    "kind": "arxiv",
    "version": 1
  }
}