Pith Number

pith:LGWF73UA

pith:2011:LGWF73UAELI3S7T33V3Z5YVI44

not attested not anchored not stored refs pending

A braid group action on parking functions

Evgeny Gorsky, Mikhail Gorsky

arxiv:1112.0381 v2 · 2011-12-02 · math.RT · 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{LGWF73UAELI3S7T33V3Z5YVI44}

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	2026-05-18T03:12:48.650952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ac5fee8022d1b97e7bdd779ee2a8e7078f7cf2d2161a13a44e3335a6f5bea3

Aliases

arxiv: 1112.0381 · arxiv_version: 1112.0381v2 · doi: 10.48550/arxiv.1112.0381 · pith_short_12: LGWF73UAELI3 · pith_short_16: LGWF73UAELI3S7T3 · pith_short_8: LGWF73UA

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/LGWF73UAELI3S7T33V3Z5YVI44 \
  | 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: 59ac5fee8022d1b97e7bdd779ee2a8e7078f7cf2d2161a13a44e3335a6f5bea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d3accc24d60a8d118b0676eedcd99341a6da16c2878a25e331407424481cb8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-02T03:44:46Z",
    "title_canon_sha256": "cfa1409f2805841cb395823c9c07f758d06d8d0a3bc855eaa1908bdf8334ace5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0381",
    "kind": "arxiv",
    "version": 2
  }
}