Pith Number

pith:IP4WYYH4

pith:2009:IP4WYYH4CLAQVBRERGIYM4NSEG

not attested not anchored not stored refs pending

Families of Invariant Divisors on Rational Complexity-One T-Varieties

Andreas Hochenegger, Nathan Owen Ilten

arxiv:0906.4292 v4 · 2009-06-23 · 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{IP4WYYH4CLAQVBRERGIYM4NSEG}

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	2026-05-18T01:34:51.356627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f96c60fc12c10a862489918671b2218c8329e0460d6a1e72b542e60fa42279

Aliases

arxiv: 0906.4292 · arxiv_version: 0906.4292v4 · doi: 10.48550/arxiv.0906.4292 · pith_short_12: IP4WYYH4CLAQ · pith_short_16: IP4WYYH4CLAQVBRE · pith_short_8: IP4WYYH4

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/IP4WYYH4CLAQVBRERGIYM4NSEG \
  | 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: 43f96c60fc12c10a862489918671b2218c8329e0460d6a1e72b542e60fa42279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db37f61830e30197b10787e2dbdc272694bf7e107666dbc346aa6ccae6fa667",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-23T15:56:26Z",
    "title_canon_sha256": "7af6fd6d0b1fee104574c238f7ec4d008af367945c22eb889e3f09e2aa876396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4292",
    "kind": "arxiv",
    "version": 4
  }
}