Pith Number

pith:XDQJAAJW

pith:2010:XDQJAAJWOSGU4EJDRB526ZESBN

not attested not anchored not stored refs pending

Matrices with Eigenvectors in a Given Subspace

Bernd Sturmfels, Giorgio Ottaviani

arxiv:1012.1016 v2 · 2010-12-05 · math.AG · 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{XDQJAAJWOSGU4EJDRB526ZESBN}

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	2026-05-18T03:42:53.341338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e0900136748d4e1123887baf64920b5261f09a3b4e0d03cdd5e7edaa21a973

Aliases

arxiv: 1012.1016 · arxiv_version: 1012.1016v2 · doi: 10.48550/arxiv.1012.1016 · pith_short_12: XDQJAAJWOSGU · pith_short_16: XDQJAAJWOSGU4EJD · pith_short_8: XDQJAAJW

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/XDQJAAJWOSGU4EJDRB526ZESBN \
  | 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: b8e0900136748d4e1123887baf64920b5261f09a3b4e0d03cdd5e7edaa21a973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f45c510da88b1f26941708fdcf1fa47f2e6269a8a6bba8b0d9f4ff74cbfd3b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-05T17:52:39Z",
    "title_canon_sha256": "8c653f6d6e868351e2d40bca6b4b126288367dbc0877fe98d0f77c36fa96e947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1016",
    "kind": "arxiv",
    "version": 2
  }
}