Pith Number

pith:AXPO2FQQ

pith:2014:AXPO2FQQMTOTLEYR22VIZUJWO3

not attested not anchored not stored refs pending

Dominated splittings for semi-invertible operator cocycles on Hilbert space

Ian D. Morris

arxiv:1403.0824 v2 · 2014-03-04 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXPO2FQQMTOTLEYR22VIZUJWO3}

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	2026-05-18T01:24:04.394001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05deed161064dd359311d6aa8cd13676f2389347c011f77f613a1ccc60a6c9da

Aliases

arxiv: 1403.0824 · arxiv_version: 1403.0824v2 · doi: 10.48550/arxiv.1403.0824 · pith_short_12: AXPO2FQQMTOT · pith_short_16: AXPO2FQQMTOTLEYR · pith_short_8: AXPO2FQQ

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/AXPO2FQQMTOTLEYR22VIZUJWO3 \
  | 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: 05deed161064dd359311d6aa8cd13676f2389347c011f77f613a1ccc60a6c9da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a23669c7bebe4cd39316293dacd7f92205e59e74986bae5bb7f9cd10bf1ee98",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-04T16:06:15Z",
    "title_canon_sha256": "25c3f0c0adee1db30cfbe9d2df199828440a464862127d499846e6171226c623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0824",
    "kind": "arxiv",
    "version": 2
  }
}