Pith Number

pith:A2IGQTHV

pith:2026:A2IGQTHVFIYO34LNX3S6EXKCS5

not attested not anchored not stored refs pending

Rigidity of Closed Minimal Hypersurfaces in $\mathbb{S}^5$

Jianquan Ge, Keyan Luo, Tong Liu, Wenjiao Yan

arxiv:2606.29246 v1 · 2026-06-28 · 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{A2IGQTHVFIYO34LNX3S6EXKCS5}

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	2026-06-30T01:17:58.819188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0690684cf52a30edf16dbee5e25d42977d12f9ca94e803c785d167002f07ee86

Aliases

arxiv: 2606.29246 · arxiv_version: 2606.29246v1 · doi: 10.48550/arxiv.2606.29246 · pith_short_12: A2IGQTHVFIYO · pith_short_16: A2IGQTHVFIYO34LN · pith_short_8: A2IGQTHV

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/A2IGQTHVFIYO34LNX3S6EXKCS5 \
  | 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: 0690684cf52a30edf16dbee5e25d42977d12f9ca94e803c785d167002f07ee86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369115f497391a451488b548118338d9eacfb7883924f93354ffa9353814b5ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-28T07:29:18Z",
    "title_canon_sha256": "7f9e76b7b2be286b3711adf897b7bd8c6e06145bec6bbba584ea99a24d1665e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29246",
    "kind": "arxiv",
    "version": 1
  }
}