Pith Number

pith:G4UYA6FJ

pith:2012:G4UYA6FJKWRU4NOLH6MQYC4JZ5

not attested not anchored not stored refs pending

Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators

Justyna Kosakowska, Markus Schmidmeier

arxiv:1202.2813 v2 · 2012-02-13 · 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{G4UYA6FJKWRU4NOLH6MQYC4JZ5}

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	2026-05-17T23:42:14.636889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37298078a955a34e35cb3f990c0b89cf5df516864bb68059672c6c0a73f49493

Aliases

arxiv: 1202.2813 · arxiv_version: 1202.2813v2 · doi: 10.48550/arxiv.1202.2813 · pith_short_12: G4UYA6FJKWRU · pith_short_16: G4UYA6FJKWRU4NOL · pith_short_8: G4UYA6FJ

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/G4UYA6FJKWRU4NOLH6MQYC4JZ5 \
  | 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: 37298078a955a34e35cb3f990c0b89cf5df516864bb68059672c6c0a73f49493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b9833a346b72a5efe46da47e4d4222c327f938fbd1fc5b8030853210c5a7fb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-13T18:40:30Z",
    "title_canon_sha256": "3b5be5dfbd496b11e5d3145ba15cd160c52608f776c87639d90f93900ee0260e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2813",
    "kind": "arxiv",
    "version": 2
  }
}