Pith Number

pith:D2NX627F

pith:2019:D2NX627FWAWD2KJJZLLNQN7W7Z

not attested not anchored not stored refs pending

Smoothness of Schubert varieties indexed by involutions in finite simply laced types

Axel Hultman, Vincent Umutabazi

arxiv:1905.09573 v1 · 2019-05-23 · 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{D2NX627FWAWD2KJJZLLNQN7W7Z}

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	2026-05-17T23:45:16.679407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9b7f6be5b02c3d2929cad6d837f6fe73ee1a62e5d86267544b3127d91e8d60

Aliases

arxiv: 1905.09573 · arxiv_version: 1905.09573v1 · doi: 10.48550/arxiv.1905.09573 · pith_short_12: D2NX627FWAWD · pith_short_16: D2NX627FWAWD2KJJ · pith_short_8: D2NX627F

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/D2NX627FWAWD2KJJZLLNQN7W7Z \
  | 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: 1e9b7f6be5b02c3d2929cad6d837f6fe73ee1a62e5d86267544b3127d91e8d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a21a752aeea2f62fabb719ae04eb1bedb332bffa9e4039c91a9bf40b9bfb59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-23T10:28:11Z",
    "title_canon_sha256": "4552e8b07bd258588d12ad9648dbbcd307d4a561bd243bf37f7d79a0aeaa2e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09573",
    "kind": "arxiv",
    "version": 1
  }
}