Pith Number

pith:XCVO4NZX

pith:2009:XCVO4NZXRK7JUAKJSUTGPQPGCQ

not attested not anchored not stored refs pending

Cup products of line bundles on homogeneous varieties and generalized PRV components of multiplicity one

Ivan Dimitrov, Mike Roth

arxiv:0909.2280 v1 · 2009-09-14 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCVO4NZXRK7JUAKJSUTGPQPGCQ}

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	2026-05-18T00:41:28.321072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8aaee37378abe9a0149952667c1e6143449b7fbdc0a9ebfe0294ba10179d2af

Aliases

arxiv: 0909.2280 · arxiv_version: 0909.2280v1 · doi: 10.48550/arxiv.0909.2280 · pith_short_12: XCVO4NZXRK7J · pith_short_16: XCVO4NZXRK7JUAKJ · pith_short_8: XCVO4NZX

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/XCVO4NZXRK7JUAKJSUTGPQPGCQ \
  | 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: b8aaee37378abe9a0149952667c1e6143449b7fbdc0a9ebfe0294ba10179d2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57f3e85e144d3877c100ce2eefd0f8e78856124ffefa0080ed69424eda7c2543",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-14T16:31:29Z",
    "title_canon_sha256": "3c3733cb020a2bd2e7e42e60d9045bd97a686de0454d80080991bafb4826e495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2280",
    "kind": "arxiv",
    "version": 1
  }
}