Pith Number

pith:FJP7SQW4

pith:2016:FJP7SQW4CLKCQH3ILA4J3M7MQL

not attested not anchored not stored refs pending

Classification of reductive real spherical pairs I. The simple case

Bernhard Kr\"otz, Friedrich Knop, Henrik Schlichtkrull, Tobias Pecher

arxiv:1609.00963 v3 · 2016-09-04 · 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{FJP7SQW4CLKCQH3ILA4J3M7MQL}

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	2026-05-17T23:52:56.335553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5ff942dc12d4281f6858389db3ec82ed560116c5000c2f1ed405098f1b05d1

Aliases

arxiv: 1609.00963 · arxiv_version: 1609.00963v3 · doi: 10.48550/arxiv.1609.00963 · pith_short_12: FJP7SQW4CLKC · pith_short_16: FJP7SQW4CLKCQH3I · pith_short_8: FJP7SQW4

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/FJP7SQW4CLKCQH3ILA4J3M7MQL \
  | 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: 2a5ff942dc12d4281f6858389db3ec82ed560116c5000c2f1ed405098f1b05d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f82382c7b221a732ae6ce5b161d1a8602dc13f306c7bedde967e2de15e533f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-04T17:31:48Z",
    "title_canon_sha256": "1a738420185af231f179b9d7dffe186b5dce7fda9af1918da21d15adbb9394cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00963",
    "kind": "arxiv",
    "version": 3
  }
}