Pith Number

pith:FWZONKEN

pith:2011:FWZONKEN3ZQLPKVJZ5WZMEF57L

not attested not anchored not stored refs pending

Normality and quadraticity for special ample line bundles on toric varieties arising from root systems

Q\"endrim R. Gashi, Travis Schedler

arxiv:1102.4083 v1 · 2011-02-20 · math.AG · math.CO · 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{FWZONKEN3ZQLPKVJZ5WZMEF57L}

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	2026-05-18T04:28:19.087365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db2e6a88dde60b7aaa9cf6d9610bdfae1064c5e4c4d83acac4c0a05a70b9a7d

Aliases

arxiv: 1102.4083 · arxiv_version: 1102.4083v1 · doi: 10.48550/arxiv.1102.4083 · pith_short_12: FWZONKEN3ZQL · pith_short_16: FWZONKEN3ZQLPKVJ · pith_short_8: FWZONKEN

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/FWZONKEN3ZQLPKVJZ5WZMEF57L \
  | 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: 2db2e6a88dde60b7aaa9cf6d9610bdfae1064c5e4c4d83acac4c0a05a70b9a7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5a94830c362f7da4e1cc009b0890f35707bcb61aea76d29dc21be98e6e207d",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-20T16:52:00Z",
    "title_canon_sha256": "8f917ff0c7616a096a3825ac4db1a2942aa0a43f8ddc789320ad6f94acd54e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4083",
    "kind": "arxiv",
    "version": 1
  }
}