Pith Number

pith:4YPGC7CI

pith:2018:4YPGC7CIOZUW6KHUK47T6QCFG6

not attested not anchored not stored refs pending

Minimal Lagrangian submanifolds of the complex hyperquadric

Haizhong Li, Hui Ma, Joeri Van der Veken, Luc Vrancken, Xianfeng Wang

arxiv:1812.07888 v2 · 2018-12-19 · 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{4YPGC7CIOZUW6KHUK47T6QCFG6}

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	2026-05-17T23:44:00.096618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61e617c4876696f28f4573f3f404537b091c03ed216e567865acb5c60c957ea

Aliases

arxiv: 1812.07888 · arxiv_version: 1812.07888v2 · doi: 10.48550/arxiv.1812.07888 · pith_short_12: 4YPGC7CIOZUW · pith_short_16: 4YPGC7CIOZUW6KHU · pith_short_8: 4YPGC7CI

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/4YPGC7CIOZUW6KHUK47T6QCFG6 \
  | 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: e61e617c4876696f28f4573f3f404537b091c03ed216e567865acb5c60c957ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825016e63b0834b80043b11123a7b0e1d74d66f9e8cf54708fbbc2324053f057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-19T11:32:55Z",
    "title_canon_sha256": "136663867c1bb6fe59bacb5ebcd63738ff73af9e235de503fca064686900e129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07888",
    "kind": "arxiv",
    "version": 2
  }
}