Pith Number

pith:GLJZKOVZ

pith:2008:GLJZKOVZQ5AYKDIPJ4FGXU4WFQ

not attested not anchored not stored refs pending

Space of K\"ahler metrics (IV)--On the lower bound of the K-energy

Xiuxiong Chen

arxiv:0809.4081 v2 · 2008-09-24 · 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{GLJZKOVZQ5AYKDIPJ4FGXU4WFQ}

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	2026-07-04T15:14:34.596354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d3953ab98741850d0f4f0a6bd3962c03532e81ff07d8189d38e127a96e91e5

Aliases

arxiv: 0809.4081 · arxiv_version: 0809.4081v2 · doi: 10.48550/arxiv.0809.4081 · pith_short_12: GLJZKOVZQ5AY · pith_short_16: GLJZKOVZQ5AYKDIP · pith_short_8: GLJZKOVZ

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/GLJZKOVZQ5AYKDIPJ4FGXU4WFQ \
  | 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: 32d3953ab98741850d0f4f0a6bd3962c03532e81ff07d8189d38e127a96e91e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd0652f96f5433432a53c2169aa11a5f881c78805787fbf01cee613c7d2a001",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-09-24T04:28:19Z",
    "title_canon_sha256": "7ad485db9ff62ab263e11aef1db21df128f6f0972e41dfd99923b5e001eb4749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4081",
    "kind": "arxiv",
    "version": 2
  }
}