Pith Number

pith:J6RZZTUD

pith:2026:J6RZZTUDLIFJAEJJWQRA2SYZHC

not attested not anchored not stored refs pending

Homogeneous Hypersurfaces in 4-dimensional Thurston Geometries with 4-dimensional Isometry Group

Tarcios Andrey Ferreira

arxiv:2606.28206 v1 · 2026-06-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6RZZTUDLIFJAEJJWQRA2SYZHC}

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	2026-06-29T01:15:09.254747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa39cce835a0a901129b4220d4b19389308f27b7d13700fa9c8ee56cfa0f431

Aliases

arxiv: 2606.28206 · arxiv_version: 2606.28206v1 · doi: 10.48550/arxiv.2606.28206 · pith_short_12: J6RZZTUDLIFJ · pith_short_16: J6RZZTUDLIFJAEJJ · pith_short_8: J6RZZTUD

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/J6RZZTUDLIFJAEJJWQRA2SYZHC \
  | 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: 4fa39cce835a0a901129b4220d4b19389308f27b7d13700fa9c8ee56cfa0f431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bd06f628ee1f74a2fb042a4344f173bc5383b38c3ac5ce2d2993a885a6cfde7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-26T15:55:40Z",
    "title_canon_sha256": "56c84cf8ac6778a92ded332034b652a9df46cdb6ec49af5085c4e5871cbf9f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28206",
    "kind": "arxiv",
    "version": 1
  }
}