Pith Number

pith:RNPYTCP7

pith:2012:RNPYTCP72ZXNYCLWGFDELTK32X

not attested not anchored not stored refs pending

Dyck tilings, increasing trees, descents, and inversions

David B. Wilson, Greta Panova, Jang Soo Kim, Karola Meszaros

arxiv:1205.6578 v4 · 2012-05-30 · 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{RNPYTCP72ZXNYCLWGFDELTK32X}

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	2026-05-18T03:10:12.287708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5f8989ffd66edc0976314645cd5bd5d926ada467277a1fc49c04040ec8ca0a

Aliases

arxiv: 1205.6578 · arxiv_version: 1205.6578v4 · doi: 10.48550/arxiv.1205.6578 · pith_short_12: RNPYTCP72ZXN · pith_short_16: RNPYTCP72ZXNYCLW · pith_short_8: RNPYTCP7

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/RNPYTCP72ZXNYCLWGFDELTK32X \
  | 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: 8b5f8989ffd66edc0976314645cd5bd5d926ada467277a1fc49c04040ec8ca0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9508b05b234e052b1dff55625d859c674771af27b8978ab0b4b812895f96cef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-30T08:26:39Z",
    "title_canon_sha256": "0a84d0fcc06f53ce59e5b355301401ce932715fb1fad01cae06eb7f5e2a34f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6578",
    "kind": "arxiv",
    "version": 4
  }
}