Pith Number

pith:T6B23Y74

pith:2010:T6B23Y7436OB4FJ7LCOPHYDWAC

not attested not anchored not stored refs pending

Equality of symmetrized tensors and the coordinate ring of the flag variety

Andrew Berget

arxiv:1005.3585 v1 · 2010-05-20 · 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{T6B23Y7436OB4FJ7LCOPHYDWAC}

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	2026-05-18T04:20:14.755603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f83ade3fcdf9c1e153f589cf3e076008f168b47e7884d98b5368e62b72904df

Aliases

arxiv: 1005.3585 · arxiv_version: 1005.3585v1 · doi: 10.48550/arxiv.1005.3585 · pith_short_12: T6B23Y7436OB · pith_short_16: T6B23Y7436OB4FJ7 · pith_short_8: T6B23Y74

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/T6B23Y7436OB4FJ7LCOPHYDWAC \
  | 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: 9f83ade3fcdf9c1e153f589cf3e076008f168b47e7884d98b5368e62b72904df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3d1c7fa13d3fa1656f534c4a36c6345e83d529dce02f7754e1b821683e1111",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-20T04:05:55Z",
    "title_canon_sha256": "8011507fdbfa83502339895d046fc737b3823cf2ed2299ddb9357675d3fef40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3585",
    "kind": "arxiv",
    "version": 1
  }
}