Pith Number

pith:BUZVOGQZ

pith:2019:BUZVOGQZLXO7WNLFRC2VH3TVAV

not attested not anchored not stored refs pending

A topological proof of the Shapiro-Shapiro conjecture

Jake Levinson, Kevin Purbhoo

arxiv:1907.11924 v2 · 2019-07-27 · 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{BUZVOGQZLXO7WNLFRC2VH3TVAV}

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.

Cited by

1 paper in Pith

Class groups of open Richardson varieties in the Grassmannian are trivial

Receipt and verification

First computed	2026-07-05T02:56:22.418062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d33571a195dddfb356588b553ee750559e11d31c03c13551d5681f7de78cfa5

Aliases

arxiv: 1907.11924 · arxiv_version: 1907.11924v2 · doi: 10.48550/arxiv.1907.11924 · pith_short_12: BUZVOGQZLXO7 · pith_short_16: BUZVOGQZLXO7WNLF · pith_short_8: BUZVOGQZ

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/BUZVOGQZLXO7WNLFRC2VH3TVAV \
  | 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: 0d33571a195dddfb356588b553ee750559e11d31c03c13551d5681f7de78cfa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ed3491901e1f5ea26c200478d0147def88660522814fb34dd94e4df93840e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-27T14:34:58Z",
    "title_canon_sha256": "9c047f04ed110027416d00afac9b5e1d00795663a2f48487d082dc875fbf7294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11924",
    "kind": "arxiv",
    "version": 2
  }
}