Pith Number

pith:IIS2RMEN

pith:2012:IIS2RMENVJGPKXMWBHIUPM32OA

not attested not anchored not stored refs pending

The Kato square root problem on vector bundles with generalised bounded geometry

Alan McIntosh, Lashi Bandara

arxiv:1203.0373 v4 · 2012-03-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIS2RMENVJGPKXMWBHIUPM32OA}

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	2026-05-18T01:19:31.153565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4225a8b08daa4cf55d9609d147b37a702b9cfc6841dbb902a40f9d057fc3e1b0

Aliases

arxiv: 1203.0373 · arxiv_version: 1203.0373v4 · doi: 10.48550/arxiv.1203.0373 · pith_short_12: IIS2RMENVJGP · pith_short_16: IIS2RMENVJGPKXMW · pith_short_8: IIS2RMEN

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/IIS2RMENVJGPKXMWBHIUPM32OA \
  | 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: 4225a8b08daa4cf55d9609d147b37a702b9cfc6841dbb902a40f9d057fc3e1b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b756b8aee98a19d798872502b0a61fd3896d637bd61279eaeea165ab8d10a2eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-02T05:17:54Z",
    "title_canon_sha256": "51d7acb515043960c71b2d609d5e2c6db1fcc7d30e394f2e7de2fac19cb3b2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0373",
    "kind": "arxiv",
    "version": 4
  }
}