Pith Number

pith:G7ADSSST

pith:2026:G7ADSSSTPLW2LR3J5OEMLOEQGE

not attested not anchored not stored refs pending

Homogeneous hypersurfaces of the four-dimensional Thurston geometries $\mathrm{Sol}_1^4$, $\mathrm{Sol}_{m,n}^4$ and $\mathrm{Nil}^4$

Xiaoge Lu, Xi Zhang, Zeke Yao

arxiv:2606.30257 v1 · 2026-06-29 · 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{G7ADSSSTPLW2LR3J5OEMLOEQGE}

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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	2026-06-30T02:17:56.445168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c0394a537aeda5c769eb88c5b8903100b81b38caaa9ebd9da5b54ce36dd51a

Aliases

arxiv: 2606.30257 · arxiv_version: 2606.30257v1 · doi: 10.48550/arxiv.2606.30257 · pith_short_12: G7ADSSSTPLW2 · pith_short_16: G7ADSSSTPLW2LR3J · pith_short_8: G7ADSSST

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/G7ADSSSTPLW2LR3J5OEMLOEQGE \
  | 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: 37c0394a537aeda5c769eb88c5b8903100b81b38caaa9ebd9da5b54ce36dd51a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f733c57772db30e14c1f54a068abe092d4d256d91c0e6fc23481c425d0c4ac12",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-29T13:06:11Z",
    "title_canon_sha256": "92255418589f801a755a14adbe29a5601054045523dcf86f09f370cac6da40db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30257",
    "kind": "arxiv",
    "version": 1
  }
}