Pith Number

pith:FKXFFUSA

pith:2026:FKXFFUSA7IQHPRMLSPYF6FEEG5

not attested not anchored not stored refs pending

On 4-dimensional convex projective domains invariant by a lattice of $\mathrm{SL}_2 (\mathbb{R})$

Ludovic Marquis, Pierre-Louis Blayac

arxiv:2607.07150 v1 · 2026-07-08 · math.GT · math.GR · 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{FKXFFUSA7IQHPRMLSPYF6FEEG5}

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	2026-07-09T01:20:15.782232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aae52d240fa2077c58b93f05f14843750d67589336905d3af445d65e351800c

Aliases

arxiv: 2607.07150 · arxiv_version: 2607.07150v1 · doi: 10.48550/arxiv.2607.07150 · pith_short_12: FKXFFUSA7IQH · pith_short_16: FKXFFUSA7IQHPRML · pith_short_8: FKXFFUSA

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/FKXFFUSA7IQHPRMLSPYF6FEEG5 \
  | 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: 2aae52d240fa2077c58b93f05f14843750d67589336905d3af445d65e351800c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e690563002745b109f84b557b9e7312898d0b572327799fb0c38c82defe9347f",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-08T08:40:15Z",
    "title_canon_sha256": "c0b414fc66dc93e602ed3919719a3dc8a372b5b0d1fcc986786b7f63a08320fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07150",
    "kind": "arxiv",
    "version": 1
  }
}