Pith Number

pith:Z7S3KAAA

pith:2020:Z7S3KAAACRQAOYGHRH6HOGCITJ

not attested not anchored not stored refs pending

A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects

P.-A. Absil, Ralf Zimmermann, Thomas Bendokat

arxiv:2011.13699 v3 · 2020-11-27 · math.NA · cs.NA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7S3KAAACRQAOYGHRH6HOGCITJ}

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

2 papers in Pith

No Subspace to Track: Non-Identifiability and Optimizer State in Low-Rank Training

Riemannian geometry meets fMRI: the advantages of modeling correlation manifolds and eigenvector subspaces

Receipt and verification

First computed	2026-07-05T07:30:41.429554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfe5b5000014600760c789fc7718489a66f7581d2dbab79bc96d94a8efba6fa1

Aliases

arxiv: 2011.13699 · arxiv_version: 2011.13699v3 · doi: 10.48550/arxiv.2011.13699 · pith_short_12: Z7S3KAAACRQA · pith_short_16: Z7S3KAAACRQAOYGH · pith_short_8: Z7S3KAAA

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/Z7S3KAAACRQAOYGHRH6HOGCITJ \
  | 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: cfe5b5000014600760c789fc7718489a66f7581d2dbab79bc96d94a8efba6fa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a0698f49a9ad9ff48db86c82193817f5d38605491b9b09ea5fe91aea4622ca8",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-11-27T12:29:28Z",
    "title_canon_sha256": "2de8808f610e4a15d50d51eafb295fbe0e46ebea2acd54efc8b4512b218e6f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.13699",
    "kind": "arxiv",
    "version": 3
  }
}