Pith Number

pith:BYVTULKG

pith:2009:BYVTULKG7GRH2ZOVUCPLST2FGE

not attested not anchored not stored refs pending

Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety

Peter E. Trapa, William M. McGovern

arxiv:0904.4493 v4 · 2009-04-29 · 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{BYVTULKG7GRH2ZOVUCPLST2FGE}

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	2026-05-18T03:59:49.779135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2b3a2d46f9a27d65d5a09eb94f45310ab9134bda7659ffa8d9917078459c6c

Aliases

arxiv: 0904.4493 · arxiv_version: 0904.4493v4 · doi: 10.48550/arxiv.0904.4493 · pith_short_12: BYVTULKG7GRH · pith_short_16: BYVTULKG7GRH2ZOV · pith_short_8: BYVTULKG

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/BYVTULKG7GRH2ZOVUCPLST2FGE \
  | 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: 0e2b3a2d46f9a27d65d5a09eb94f45310ab9134bda7659ffa8d9917078459c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ac8907967e9fafacdd74b9e6c1d88996fd4404044ab443766f01d3b5568e40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-04-29T13:55:01Z",
    "title_canon_sha256": "298c0356351366ae27a6f4ade8fdf981214d30af98d04f41a1814e5c83d52628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4493",
    "kind": "arxiv",
    "version": 4
  }
}