Pith Number

pith:OPEQR56D

pith:2006:OPEQR56DH23PL5FJSMM6PH3Y4R

not attested not anchored not stored refs pending

Invariant Subspaces of Nilpotent Linear Operators. I

Claus Michael Ringel, Markus Schmidmeier

arxiv:math/0608666 v2 · 2006-08-28 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPEQR56DH23PL5FJSMM6PH3Y4R}

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	2026-05-17T23:42:09.218188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c908f7c33eb6f5f4a99319e79f78e461cd6810835a2c631b470722808b6d28

Aliases

arxiv: math/0608666 · arxiv_version: math/0608666v2 · doi: 10.48550/arxiv.math/0608666 · pith_short_12: OPEQR56DH23P · pith_short_16: OPEQR56DH23PL5FJ · pith_short_8: OPEQR56D

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/OPEQR56DH23PL5FJSMM6PH3Y4R \
  | 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: 73c908f7c33eb6f5f4a99319e79f78e461cd6810835a2c631b470722808b6d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfce93ff17e364805c9dd01c31802777ddf0114e6438551f4ad189a555d34c04",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-08-28T02:19:21Z",
    "title_canon_sha256": "b09867dbd4f0e20a09ce85ad7b2490bf27079dfa6a7e063ddba8e96d38e0b384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608666",
    "kind": "arxiv",
    "version": 2
  }
}