Pith Number

pith:P6RT6J3F

pith:2013:P6RT6J3F545V4U35W6AGUVMYVD

not attested not anchored not stored refs pending

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

Haozhao Li, Yalong Shi, Yi Yao

arxiv:1311.1032 v2 · 2013-11-05 · 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{P6RT6J3F545V4U35W6AGUVMYVD}

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	2026-05-18T02:48:46.668188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa33f2765ef3b5e537db7806a5598a8c3b1b212f3048f976617ee75d4242aea

Aliases

arxiv: 1311.1032 · arxiv_version: 1311.1032v2 · doi: 10.48550/arxiv.1311.1032 · pith_short_12: P6RT6J3F545V · pith_short_16: P6RT6J3F545V4U35 · pith_short_8: P6RT6J3F

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/P6RT6J3F545V4U35W6AGUVMYVD \
  | 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: 7fa33f2765ef3b5e537db7806a5598a8c3b1b212f3048f976617ee75d4242aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59fce0ec08655f97b17cc0f5450da6897e0879125d147859b0dd0287e8a15e77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-05T12:38:28Z",
    "title_canon_sha256": "a9fb5d9a1a51a31fa44287636dc83249b078d7ae68de1bdcd2f999d65370191d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1032",
    "kind": "arxiv",
    "version": 2
  }
}