Pith Number

pith:P2KB4GCN

pith:2018:P2KB4GCNAONTYAJ6AXSNPODLNX

not attested not anchored not stored refs pending

A Liouville Theorem on the PDE $\det(f_{i\bar j})=1$

An-Min Li, Li Sheng

arxiv:1809.00824 v2 · 2018-09-04 · 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{P2KB4GCNAONTYAJ6AXSNPODLNX}

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	2026-05-18T00:06:28.298702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e941e184d039b3c013e05e4d7b86b6dd58dffe4ba6635d7c520a2517af680a7

Aliases

arxiv: 1809.00824 · arxiv_version: 1809.00824v2 · doi: 10.48550/arxiv.1809.00824 · pith_short_12: P2KB4GCNAONT · pith_short_16: P2KB4GCNAONTYAJ6 · pith_short_8: P2KB4GCN

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/P2KB4GCNAONTYAJ6AXSNPODLNX \
  | 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: 7e941e184d039b3c013e05e4d7b86b6dd58dffe4ba6635d7c520a2517af680a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8436baddb81638352b75797e1d341a3a89de89f91b06fc69d3b29deb3ebf37e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-04T07:56:20Z",
    "title_canon_sha256": "a0e477b81698ab7b8dbd26a766e9f2cdea2b8ebd19887bbb1f554ddfdca8c501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00824",
    "kind": "arxiv",
    "version": 2
  }
}