Pith Number

pith:BDC7KZNV

pith:2016:BDC7KZNVE7WFR5AOTY5RWGJX7N

not attested not anchored not stored refs pending

The Cox ring of a complexity-one horospherical variety

Kevin Langlois, Ronan Terpereau

arxiv:1603.06919 v3 · 2016-03-22 · 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{BDC7KZNVE7WFR5AOTY5RWGJX7N}

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	2026-05-18T00:56:04.410473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c5f565b527ec58f40e9e3b1b1937fb4d73fd89f1a5ecb3d1dca4b075e54ab7

Aliases

arxiv: 1603.06919 · arxiv_version: 1603.06919v3 · doi: 10.48550/arxiv.1603.06919 · pith_short_12: BDC7KZNVE7WF · pith_short_16: BDC7KZNVE7WFR5AO · pith_short_8: BDC7KZNV

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/BDC7KZNVE7WFR5AOTY5RWGJX7N \
  | 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: 08c5f565b527ec58f40e9e3b1b1937fb4d73fd89f1a5ecb3d1dca4b075e54ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fbfb8a4a3ac714955389886b8fe63f1cfdeba0a72d1f43c7d308907dd381a0a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-22T19:22:31Z",
    "title_canon_sha256": "a0f18e99be68d224889b176d3fd653c557495a7ea7c0e5020dac410850a01e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06919",
    "kind": "arxiv",
    "version": 3
  }
}