Pith Number

pith:PHFMCFE3

pith:2012:PHFMCFE376IBRD5WZLJNZBV634

not attested not anchored not stored refs pending

Combinatorial bijections from hatted avoiding permutations in $S_n(132)$ to generalized Dyck and Motzkin paths

Dominique Rossin, Phan Thuan Do, Thi Thu Huong Tran

arxiv:1208.1075 v1 · 2012-08-06 · 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{PHFMCFE376IBRD5WZLJNZBV634}

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	2026-05-18T03:49:20.645769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cac1149bff90188fb6cad2dc86bedf019bd46659cb8a6373d1f607c2fccb2d

Aliases

arxiv: 1208.1075 · arxiv_version: 1208.1075v1 · doi: 10.48550/arxiv.1208.1075 · pith_short_12: PHFMCFE376IB · pith_short_16: PHFMCFE376IBRD5W · pith_short_8: PHFMCFE3

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/PHFMCFE376IBRD5WZLJNZBV634 \
  | 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: 79cac1149bff90188fb6cad2dc86bedf019bd46659cb8a6373d1f607c2fccb2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f55e4ee24f1eecbd2961a51fca67f9c68f7a89386dee58c31bfb62fff66eee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-06T03:11:54Z",
    "title_canon_sha256": "9ad9199b173444dc84a7fc9fd5d9735292c15c95875b477aa5337a68ff5f1aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1075",
    "kind": "arxiv",
    "version": 1
  }
}