Pith Number

pith:Q365S65V

pith:2010:Q365S65VLS7NQWFCRDTPVEUN3Y

not attested not anchored not stored refs pending

A refined bijection between alternating permutations and 0-1-2 increasing trees

Heesung Shin

arxiv:1003.4564 v1 · 2010-03-24 · 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{Q365S65VLS7NQWFCRDTPVEUN3Y}

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	2026-07-04T17:24:04.197814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86fdd97bb55cbed858a288e6fa928dde240f8a9e639e7927b5962087df1b9d8c

Aliases

arxiv: 1003.4564 · arxiv_version: 1003.4564v1 · doi: 10.48550/arxiv.1003.4564 · pith_short_12: Q365S65VLS7N · pith_short_16: Q365S65VLS7NQWFC · pith_short_8: Q365S65V

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/Q365S65VLS7NQWFCRDTPVEUN3Y \
  | 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: 86fdd97bb55cbed858a288e6fa928dde240f8a9e639e7927b5962087df1b9d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e38b9fa1683932d2381501d6ac2ac1589d4e1d459f5e12fa13463e62c4a31ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-24T00:54:59Z",
    "title_canon_sha256": "6549f9fada20bc134a5425f24e7607120da0e8f68e0abdfd3a67a36f95ce0104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4564",
    "kind": "arxiv",
    "version": 1
  }
}