Pith Number

pith:HSOKRPPP

pith:2017:HSOKRPPP4J7T7FWIKE65ZNFOPS

not attested not anchored not stored refs pending

Irreducibility of the Laplacian eigenspaces of some homogeneous spaces

David Petrecca, Markus Roeser

arxiv:1707.01403 v2 · 2017-07-05 · math.DG · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSOKRPPP4J7T7FWIKE65ZNFOPS}

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	2026-05-18T00:33:58.816570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9ca8bdefe27f3f96c8513ddcb4ae7c96ae69742ae1628dc1ad157b463cd7da

Aliases

arxiv: 1707.01403 · arxiv_version: 1707.01403v2 · doi: 10.48550/arxiv.1707.01403 · pith_short_12: HSOKRPPP4J7T · pith_short_16: HSOKRPPP4J7T7FWI · pith_short_8: HSOKRPPP

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/HSOKRPPP4J7T7FWIKE65ZNFOPS \
  | 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: 3c9ca8bdefe27f3f96c8513ddcb4ae7c96ae69742ae1628dc1ad157b463cd7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f41ad458b70917ca41c7c5d918cc98c041bca66cfe45f245574cb42b979be1",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-05T14:06:13Z",
    "title_canon_sha256": "f8738f4ce06c1b87f0df71e68cc5695676e9340bfdbd22ef58848de5bad4b515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01403",
    "kind": "arxiv",
    "version": 2
  }
}