Pith Number

pith:432TRPOH

pith:2021:432TRPOHDHRJBJEESQPRILBAX7

not attested not anchored not stored refs pending

The Existence of G-Invariant constant mean curvature Hypersurfaces

Tongrui Wang, Zhiang Wu

arxiv:2103.16892 v1 · 2021-03-31 · 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{432TRPOHDHRJBJEESQPRILBAX7}

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	2026-07-05T02:28:09.973403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f538bdc719e290a484941f142c20bfcd585a070d9de740fc3a422ada91f934

Aliases

arxiv: 2103.16892 · arxiv_version: 2103.16892v1 · doi: 10.48550/arxiv.2103.16892 · pith_short_12: 432TRPOHDHRJ · pith_short_16: 432TRPOHDHRJBJEE · pith_short_8: 432TRPOH

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/432TRPOHDHRJBJEESQPRILBAX7 \
  | 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: e6f538bdc719e290a484941f142c20bfcd585a070d9de740fc3a422ada91f934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364a7b6b212638354425a42e94a4bdb13cd2e10d759b401e4ebe9a906a03339e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-03-31T08:21:31Z",
    "title_canon_sha256": "67835caa043b6564c213bb83338d5ed16ea07756a3fc38f62b68d24a0e8b382d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.16892",
    "kind": "arxiv",
    "version": 1
  }
}