Pith Number

pith:2ZZZL3I6

pith:2016:2ZZZL3I6PH26FJHES74MMH4ITV

not attested not anchored not stored refs pending

Nonexistence for complete K\"ahler Einstein metrics on some noncompact manifolds

Peng Gao, Shing-Tung Yau, Wubin Zhou

arxiv:1603.09135 v1 · 2016-03-30 · 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{2ZZZL3I6PH26FJHES74MMH4ITV}

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	2026-05-18T01:18:03.026111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67395ed1e79f5e2a4e497f8c61f889d416128a588f9cc8fd7c6c0fd4c414481

Aliases

arxiv: 1603.09135 · arxiv_version: 1603.09135v1 · doi: 10.48550/arxiv.1603.09135 · pith_short_12: 2ZZZL3I6PH26 · pith_short_16: 2ZZZL3I6PH26FJHE · pith_short_8: 2ZZZL3I6

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/2ZZZL3I6PH26FJHES74MMH4ITV \
  | 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: d67395ed1e79f5e2a4e497f8c61f889d416128a588f9cc8fd7c6c0fd4c414481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517529aa5f68d9b712e05ad5dd8744c96688367d9c894dc7695aed4e5bd8a1ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-30T11:33:28Z",
    "title_canon_sha256": "27e78eceae9746ae8a2a6b8df481811f1b5045f587f5279065155a7173c01ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09135",
    "kind": "arxiv",
    "version": 1
  }
}