Pith Number

pith:BG7BLZHZ

pith:2010:BG7BLZHZTSLZ6G6CZ6DSLLEMPB

not attested not anchored not stored refs pending

A unification of permutation patterns related to Schubert varieties

Henning \'Ulfarsson

arxiv:1002.4361 v7 · 2010-02-23 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG7BLZHZTSLZ6G6CZ6DSLLEMPB}

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	2026-05-18T03:58:37.069511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09be15e4f99c979f1bc2cf8725ac8c78687035af04c023054296ffec096b8110

Aliases

arxiv: 1002.4361 · arxiv_version: 1002.4361v7 · doi: 10.48550/arxiv.1002.4361 · pith_short_12: BG7BLZHZTSLZ · pith_short_16: BG7BLZHZTSLZ6G6C · pith_short_8: BG7BLZHZ

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/BG7BLZHZTSLZ6G6CZ6DSLLEMPB \
  | 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: 09be15e4f99c979f1bc2cf8725ac8c78687035af04c023054296ffec096b8110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f108988cf1587e4fbd6b053060ee7dbca3dc28dc627bc1f20a60773faca915fb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-23T16:09:59Z",
    "title_canon_sha256": "936a9c7f87250d6ce03d0a4ecdc88a6a9181cf3d6a06dd8f1e6c4aa5a2ee4599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4361",
    "kind": "arxiv",
    "version": 7
  }
}