Pith Number

pith:QNVHD4FA

pith:2014:QNVHD4FAZDMHYT3GC7UBDOSECW

not attested not anchored not stored refs pending

Splittings of extensions and homological bidimension of the algebra of bounded operators on a Banach space

Niels Jakob Laustsen, Richard Skillicorn

arxiv:1409.8203 v2 · 2014-09-29 · 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{QNVHD4FAZDMHYT3GC7UBDOSECW}

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	2026-05-18T01:15:53.285709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836a71f0a0c8d87c4f6617e811ba44159f622a0bb9dee4de4576f8715805d9f7

Aliases

arxiv: 1409.8203 · arxiv_version: 1409.8203v2 · doi: 10.48550/arxiv.1409.8203 · pith_short_12: QNVHD4FAZDMH · pith_short_16: QNVHD4FAZDMHYT3G · pith_short_8: QNVHD4FA

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/QNVHD4FAZDMHYT3GC7UBDOSECW \
  | 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: 836a71f0a0c8d87c4f6617e811ba44159f622a0bb9dee4de4576f8715805d9f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3340b19eebe8f905a8d3f7c3e9d6f78170ab1b2c20024e0bd71ed084f9f8fdc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-29T17:26:12Z",
    "title_canon_sha256": "d40bb4e92fb85a566f930c0d8ff1d72fc1e5d62a2fba1cc0b10d9a2c6a27bcef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8203",
    "kind": "arxiv",
    "version": 2
  }
}