Pith Number

pith:ZTN3XEO5

pith:2019:ZTN3XEO5RAJNBI65LGI24OZ6WF

not attested not anchored not stored refs pending

Class groups of open Richardson varieties in the Grassmannian are trivial

Jake Levinson, Kevin Purbhoo

arxiv:1908.02925 v1 · 2019-08-08 · 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{ZTN3XEO5RAJNBI65LGI24OZ6WF}

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	2026-07-04T23:52:24.944613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccdbbb91dd8812d0a3dd5991ae3b3eb178af1483d8642af35e2a55c09f9c2123

Aliases

arxiv: 1908.02925 · arxiv_version: 1908.02925v1 · doi: 10.48550/arxiv.1908.02925 · pith_short_12: ZTN3XEO5RAJN · pith_short_16: ZTN3XEO5RAJNBI65 · pith_short_8: ZTN3XEO5

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/ZTN3XEO5RAJNBI65LGI24OZ6WF \
  | 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: ccdbbb91dd8812d0a3dd5991ae3b3eb178af1483d8642af35e2a55c09f9c2123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "460d26d8053f11c2796c29fddfe8cf5340fa4ce6f1daee1f2ab8d1d028c72323",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-08T04:22:19Z",
    "title_canon_sha256": "20c636fa29ed216e88effa076c8d8c094fd9158f7df16762e70e376159d39ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02925",
    "kind": "arxiv",
    "version": 1
  }
}