Pith Number

pith:KWWMKQPT

pith:2024:KWWMKQPTCCQDJWA6DEQKMXGIEE

not attested not anchored not stored refs pending

The Two Lives of the Grassmannian

Bernd Sturmfels, Bernhard Reinke, Hannah Friedman, Karel Devriendt

arxiv:2401.03684 v3 · 2024-01-08 · math.AG · math.CO · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWWMKQPTCCQDJWA6DEQKMXGIEE}

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

4 papers in Pith

Hyperplane Arrangements in the Grassmannian

Gram Matrices for Isotropic Vectors

Pointwise Generalization in Deep Neural Networks

Covariance Estimation for Matrix-variate Data via Fixed-rank Core Covariance Geometry

Receipt and verification

First computed	2026-07-05T08:40:12.126452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55acc541f310a034d81e1920a65cc821346fd357db1efc4789e0e3013fd3ffe5

Aliases

arxiv: 2401.03684 · arxiv_version: 2401.03684v3 · doi: 10.48550/arxiv.2401.03684 · pith_short_12: KWWMKQPTCCQD · pith_short_16: KWWMKQPTCCQDJWA6 · pith_short_8: KWWMKQPT

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/KWWMKQPTCCQDJWA6DEQKMXGIEE \
  | 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: 55acc541f310a034d81e1920a65cc821346fd357db1efc4789e0e3013fd3ffe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5833cea0e2bfd314309e9fda54c75cd963fd8ffb2e0fc74b30835af774b7ca",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-01-08T06:18:37Z",
    "title_canon_sha256": "c0e2fce24e9c5b66e5f9fc03f00b99aa0f648b280a833899f9fefa44e48b9509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.03684",
    "kind": "arxiv",
    "version": 3
  }
}