Pith Number

pith:SH4YA6ZK

pith:2018:SH4YA6ZKFMKJKFJGRLJDNELPX6

not attested not anchored not stored refs pending

Minimal surfaces in the three dimensional sphere with high symmetry

Chao Wang, Sheng Bai, Shicheng Wang

arxiv:1804.05421 v2 · 2018-04-15 · math.GT · 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{SH4YA6ZKFMKJKFJGRLJDNELPX6}

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	2026-05-18T00:11:27.978753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f9807b2a2b149515268ad236916fbf8085c6553ddf8364620fa458864e975b

Aliases

arxiv: 1804.05421 · arxiv_version: 1804.05421v2 · doi: 10.48550/arxiv.1804.05421 · pith_short_12: SH4YA6ZKFMKJ · pith_short_16: SH4YA6ZKFMKJKFJG · pith_short_8: SH4YA6ZK

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/SH4YA6ZKFMKJKFJGRLJDNELPX6 \
  | 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: 91f9807b2a2b149515268ad236916fbf8085c6553ddf8364620fa458864e975b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9315f6c06c74b589d93c69e5b05c076e0727e3ca21f25ee8c62181e0b6fad4a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-15T20:16:46Z",
    "title_canon_sha256": "768bb8969160e586f3eb0df2c066346b0c12532fa8cf76daa3432152357be800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05421",
    "kind": "arxiv",
    "version": 2
  }
}