Pith Number

pith:7RDRYREV

pith:2009:7RDRYREVXVC2ALQHV4X6CDTDL4

not attested not anchored not stored refs pending

Spherical orbit closures in simple projective spaces and their normalizations

Jacopo Gandini

arxiv:0907.1177 v4 · 2009-07-07 · 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{7RDRYREVXVC2ALQHV4X6CDTDL4}

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	2026-05-18T00:12:36.085174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc471c4495bd45a02e07af2fe10e635f3eca1c7b2b1dcfbb591bb5b7ba528f33

Aliases

arxiv: 0907.1177 · arxiv_version: 0907.1177v4 · doi: 10.48550/arxiv.0907.1177 · pith_short_12: 7RDRYREVXVC2 · pith_short_16: 7RDRYREVXVC2ALQH · pith_short_8: 7RDRYREV

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/7RDRYREVXVC2ALQHV4X6CDTDL4 \
  | 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: fc471c4495bd45a02e07af2fe10e635f3eca1c7b2b1dcfbb591bb5b7ba528f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d1d1604f430d1c84463779840045e985c0e53fcc1b3d083494607cf6b72b7e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-07T10:41:58Z",
    "title_canon_sha256": "e0f49767b74091f569c20f69db164bba138da2fe2c51676e8931ecae29ebd3e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1177",
    "kind": "arxiv",
    "version": 4
  }
}