Pith Number

pith:PPNV77R6

pith:2012:PPNV77R65SQXPR3LXFRG4R2Z3T

not attested not anchored not stored refs pending

Inflations of geometric grid classes of permutations

Michael H. Albert, Nik Ruskuc, Vincent Vatter

arxiv:1202.1833 v1 · 2012-02-08 · 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{PPNV77R65SQXPR3LXFRG4R2Z3T}

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	2026-05-18T04:02:39.012102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bdb5ffe3eeca177c76bb9626e4759dcf3298a9b4b7da947c4057cd08968fe0e

Aliases

arxiv: 1202.1833 · arxiv_version: 1202.1833v1 · doi: 10.48550/arxiv.1202.1833 · pith_short_12: PPNV77R65SQX · pith_short_16: PPNV77R65SQXPR3L · pith_short_8: PPNV77R6

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/PPNV77R65SQXPR3LXFRG4R2Z3T \
  | 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: 7bdb5ffe3eeca177c76bb9626e4759dcf3298a9b4b7da947c4057cd08968fe0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad877b346b78a08e9795d521422617e8354302b7342c4772f41ecbab516cbf80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-08T21:12:43Z",
    "title_canon_sha256": "40258f1efe67a08f68b5cbb47d2a5483646af2ebd41846fa39165844a8615a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1833",
    "kind": "arxiv",
    "version": 1
  }
}