Pith Number

pith:GS5ID4QX

pith:2010:GS5ID4QXDNOALFG3Z4QJTJEM2M

not attested not anchored not stored refs pending

The Generalized Schur Decomposition and the rank-$R$ set of real $I\times J\times 2$ arrays

Alwin Stegeman

arxiv:1011.3432 v1 · 2010-11-15 · 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{GS5ID4QXDNOALFG3Z4QJTJEM2M}

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	2026-05-18T04:35:55.861679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ba81f2171b5c0594dbcf2099a48cd30afb92d0fcfedb144c58aff20384c3f9

Aliases

arxiv: 1011.3432 · arxiv_version: 1011.3432v1 · doi: 10.48550/arxiv.1011.3432 · pith_short_12: GS5ID4QXDNOA · pith_short_16: GS5ID4QXDNOALFG3 · pith_short_8: GS5ID4QX

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/GS5ID4QXDNOALFG3Z4QJTJEM2M \
  | 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: 34ba81f2171b5c0594dbcf2099a48cd30afb92d0fcfedb144c58aff20384c3f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e69efe98c0d3cf192ea57e1fceadfdd26be40ce135679163568922199669e95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-15T15:58:19Z",
    "title_canon_sha256": "18aee16806bbc7bb9e74ff9de334dadf00f5378ed8f773f47a75a52a1d5401ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3432",
    "kind": "arxiv",
    "version": 1
  }
}