Pith Number

pith:FRGXY6BQ

pith:2004:FRGXY6BQXVBWUJ6IPXLWJCEYP2

not attested not anchored not stored refs pending

Another proof of global $F$-regularity of Schubert varieties

Mitsuyasu Hashimoto

arxiv:math/0409007 v1 · 2004-09-01 · math.AC · 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{FRGXY6BQXVBWUJ6IPXLWJCEYP2}

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	2026-05-18T04:34:28.221166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4d7c7830bd436a27c87dd76488987e98d5b28897c7c9df55dd972836199d32

Aliases

arxiv: math/0409007 · arxiv_version: math/0409007v1 · doi: 10.48550/arxiv.math/0409007 · pith_short_12: FRGXY6BQXVBW · pith_short_16: FRGXY6BQXVBWUJ6I · pith_short_8: FRGXY6BQ

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/FRGXY6BQXVBWUJ6IPXLWJCEYP2 \
  | 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: 2c4d7c7830bd436a27c87dd76488987e98d5b28897c7c9df55dd972836199d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71cef9dfcead60b49df75408c3f77b526eea3921c86b442430ab7453ba60d18d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2004-09-01T05:39:02Z",
    "title_canon_sha256": "a1193e72a3845c3742919fa7ac18574de988671ece39a8d4f8212ddb5ea0a7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409007",
    "kind": "arxiv",
    "version": 1
  }
}