Pith Number

pith:FMIIPHOB

pith:2011:FMIIPHOBM3KXOKAFCGUHCVJJ5H

not attested not anchored not stored refs pending

The noetherian properties of the rings of differential operators on central 2-arrangements

Norihiro Nakashima

arxiv:1106.1756 v1 · 2011-06-09 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMIIPHOBM3KXOKAFCGUHCVJJ5H}

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	2026-05-18T04:20:15.198165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b10879dc166d577280511a8715529e9df39b57ff2fb2dc19e370d686fa4902c

Aliases

arxiv: 1106.1756 · arxiv_version: 1106.1756v1 · doi: 10.48550/arxiv.1106.1756 · pith_short_12: FMIIPHOBM3KX · pith_short_16: FMIIPHOBM3KXOKAF · pith_short_8: FMIIPHOB

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/FMIIPHOBM3KXOKAFCGUHCVJJ5H \
  | 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: 2b10879dc166d577280511a8715529e9df39b57ff2fb2dc19e370d686fa4902c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac096e7f43314521fc79736eb76fa1f6818c7fada1c9af4280e9132764ab49e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-09T09:32:21Z",
    "title_canon_sha256": "3c961efe95b68c0aaca819ad909695c7f71e638e574df8df427dc01e9d2fb962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1756",
    "kind": "arxiv",
    "version": 1
  }
}