Pith Number

pith:W7FQNY4R

pith:2019:W7FQNY4RQDIXY3RPEFKRCL5PSW

not attested not anchored not stored refs pending

Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem

Marco Radeschi, Ricardo A. E. Mendes

arxiv:1908.05796 v2 · 2019-08-15 · math.DG · math.AC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7FQNY4RQDIXY3RPEFKRCL5PSW}

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	2026-07-05T00:38:54.541610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7cb06e39180d17c6e2f2155112faf9581e4eb1c7d43f9b03b5897cfdd2f839d

Aliases

arxiv: 1908.05796 · arxiv_version: 1908.05796v2 · doi: 10.48550/arxiv.1908.05796 · pith_short_12: W7FQNY4RQDIX · pith_short_16: W7FQNY4RQDIXY3RP · pith_short_8: W7FQNY4R

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/W7FQNY4RQDIXY3RPEFKRCL5PSW \
  | 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: b7cb06e39180d17c6e2f2155112faf9581e4eb1c7d43f9b03b5897cfdd2f839d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee12d814b003e1c2e2de8a927e00b7cd5cbae1214c5d54b8a39d08b1b003f26",
    "cross_cats_sorted": [
      "math.AC",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-15T23:37:56Z",
    "title_canon_sha256": "fbea700f650330287a9d4e7cab924c010aca9f144ca88ecfbd4fea36d51feabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05796",
    "kind": "arxiv",
    "version": 2
  }
}