Pith Number

pith:WMAM2YMA

pith:2018:WMAM2YMAQQN4KC72HEFATKGV7K

not attested not anchored not stored refs pending

A Liouville theorem on complete non-K\"ahler manifolds

Chuanjing Zhang, Xi Zhang, Yuang Li

arxiv:1805.11215 v1 · 2018-05-29 · 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{WMAM2YMAQQN4KC72HEFATKGV7K}

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	2026-05-18T00:14:43.492356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b300cd6180841bc50bfa390a09a8d5fab276e4e02d8089d2fdbf436d74a5d069

Aliases

arxiv: 1805.11215 · arxiv_version: 1805.11215v1 · doi: 10.48550/arxiv.1805.11215 · pith_short_12: WMAM2YMAQQN4 · pith_short_16: WMAM2YMAQQN4KC72 · pith_short_8: WMAM2YMA

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/WMAM2YMAQQN4KC72HEFATKGV7K \
  | 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: b300cd6180841bc50bfa390a09a8d5fab276e4e02d8089d2fdbf436d74a5d069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c11f69e4795a2220e3ed2301b365606262eeab73abe5b0fc2668a3474cae65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-29T02:08:38Z",
    "title_canon_sha256": "1ee300d65caba6f1d62b431be7ad7fc23487f443b94280ad55a8ab779d83ef14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11215",
    "kind": "arxiv",
    "version": 1
  }
}