Pith Number

pith:ETN7S5UA

pith:2007:ETN7S5UACQ6P5MXPTNCTTAPXHW

not attested not anchored not stored refs pending

Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils

M. Isabel Garcia-Planas, Vladimir V. Sergeichuk

arxiv:0710.0946 v1 · 2007-10-04 · math.RT · cs.NA · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETN7S5UACQ6P5MXPTNCTTAPXHW}

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	2026-06-03T22:06:02.678911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24dbf97680143cfeb2ef9b453981f73d82e4be9a6bcc8ad1c20e3deb14c09e00

Aliases

arxiv: 0710.0946 · arxiv_version: 0710.0946v1 · doi: 10.48550/arxiv.0710.0946 · pith_short_12: ETN7S5UACQ6P · pith_short_16: ETN7S5UACQ6P5MXP · pith_short_8: ETN7S5UA

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/ETN7S5UACQ6P5MXPTNCTTAPXHW \
  | 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: 24dbf97680143cfeb2ef9b453981f73d82e4be9a6bcc8ad1c20e3deb14c09e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d8e25688c6345be87eb4284ddc39ac0ef115660c91e1adbfb92a43d8d475e3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-10-04T08:22:30Z",
    "title_canon_sha256": "2bb704622e3dfc220c99ab2be707da50952ac50d2dd1694dfe5e6640310d7669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0946",
    "kind": "arxiv",
    "version": 1
  }
}