Pith Number

pith:4KKQBKGS

pith:2025:4KKQBKGSNRLDMZ52QHEJFPZB7G

not attested not anchored not stored refs pending

Stable anisotropic minimal hypersurfaces in $\mathbb{R}^{5}$ and $\mathbb{R}^{6}$

Chao Xia, Jia Li

arxiv:2505.16595 v1 · 2025-05-22 · 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{4KKQBKGSNRLDMZ52QHEJFPZB7G}

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	2026-07-05T11:07:37.640581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29500a8d26c563667ba81c892bf21f9af70c41af483a050556144794c6028af

Aliases

arxiv: 2505.16595 · arxiv_version: 2505.16595v1 · doi: 10.48550/arxiv.2505.16595 · pith_short_12: 4KKQBKGSNRLD · pith_short_16: 4KKQBKGSNRLDMZ52 · pith_short_8: 4KKQBKGS

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/4KKQBKGSNRLDMZ52QHEJFPZB7G \
  | 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: e29500a8d26c563667ba81c892bf21f9af70c41af483a050556144794c6028af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b52e06d8de319993370fe4309c3020d501a26286cff89d4388428837d84cfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-22T12:29:44Z",
    "title_canon_sha256": "64c9f598ffab70f61f6eaaa145fddfa65fe804bddc8ffe2beb662c41828667fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16595",
    "kind": "arxiv",
    "version": 1
  }
}