Pith Number

pith:VEKPHBLC

pith:2012:VEKPHBLCX3OSTLDWEM5TYMYJJQ

not attested not anchored not stored refs pending

Algebraic Frobenius Splitting of Cotangent Bundles of Flag Varieties

Chuck Hague

arxiv:1208.4314 v2 · 2012-08-21 · math.RT · 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{VEKPHBLCX3OSTLDWEM5TYMYJJQ}

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	2026-05-18T03:38:23.209361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a914f38562bedd29ac76233b3c33094c1dee7b2b630041605d0b4470597d9467

Aliases

arxiv: 1208.4314 · arxiv_version: 1208.4314v2 · doi: 10.48550/arxiv.1208.4314 · pith_short_12: VEKPHBLCX3OS · pith_short_16: VEKPHBLCX3OSTLDW · pith_short_8: VEKPHBLC

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/VEKPHBLCX3OSTLDWEM5TYMYJJQ \
  | 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: a914f38562bedd29ac76233b3c33094c1dee7b2b630041605d0b4470597d9467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57751c7338344157a749f2b43841114bc63cf72b79897cd0fa509a3e802f3ccf",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-21T17:34:12Z",
    "title_canon_sha256": "1c9eb1d4453486d0ee301fbc42fa1eed3a0d593d2e8db11396eeac0c1d457177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4314",
    "kind": "arxiv",
    "version": 2
  }
}