Pith Number

pith:PCOOU5GS

pith:2015:PCOOU5GSZNXTQSTNB62CLS23RR

not attested not anchored not stored refs pending

A criterion for the properness of the K-energy in a general Kahler class (II)

Haozhao Li, Yalong Shi

arxiv:1501.01516 v1 · 2015-01-07 · 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{PCOOU5GSZNXTQSTNB62CLS23RR}

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	2026-05-18T02:29:53.914022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789cea74d2cb6f384a6d0fb425cb5b8c456f45326b7387a6cafab1d6b1d952e9

Aliases

arxiv: 1501.01516 · arxiv_version: 1501.01516v1 · doi: 10.48550/arxiv.1501.01516 · pith_short_12: PCOOU5GSZNXT · pith_short_16: PCOOU5GSZNXTQSTN · pith_short_8: PCOOU5GS

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/PCOOU5GSZNXTQSTNB62CLS23RR \
  | 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: 789cea74d2cb6f384a6d0fb425cb5b8c456f45326b7387a6cafab1d6b1d952e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d54deadb64b361d90d33d7861b37f18c816cab0cd0b0d850f166679767ec44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-07T15:20:36Z",
    "title_canon_sha256": "c95ddcc5c1514999b73df7632337ba66253352d5ca0a758fed0fd9161823c73e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01516",
    "kind": "arxiv",
    "version": 1
  }
}