Pith Number

pith:4DCNQ46K

pith:2011:4DCNQ46KHPFGZHYEFFCBQPRXYZ

not attested not anchored not stored refs pending

Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup

Roman Avdeev

arxiv:1106.5677 v3 · 2011-06-28 · 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{4DCNQ46KHPFGZHYEFFCBQPRXYZ}

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	2026-05-18T03:35:54.452366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c4d873ca3bca6c9f042944183e37c6412b102cf005f11fb8e533c21d228552

Aliases

arxiv: 1106.5677 · arxiv_version: 1106.5677v3 · doi: 10.48550/arxiv.1106.5677 · pith_short_12: 4DCNQ46KHPFG · pith_short_16: 4DCNQ46KHPFGZHYE · pith_short_8: 4DCNQ46K

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/4DCNQ46KHPFGZHYEFFCBQPRXYZ \
  | 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: e0c4d873ca3bca6c9f042944183e37c6412b102cf005f11fb8e533c21d228552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ff47e2fe6fec77af4eec1d65a937da018ce144e82d548084baf6ed5d22ebe7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-28T14:15:44Z",
    "title_canon_sha256": "828dd682da09f5c772f5ef9265de21f29591d184eb6395aa6947989b1fe32836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5677",
    "kind": "arxiv",
    "version": 3
  }
}