Pith Number

pith:U77NVNRF

pith:2010:U77NVNRF6EK24MXRBQUXM6IWQA

not attested not anchored not stored refs pending

Sharp differential estimates of Li-Yau-Hamilton type for positive $(p,p)$-forms on K\"ahler manifolds

Lei Ni, Yanyan Niu

arxiv:1004.4840 v1 · 2010-04-27 · 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{U77NVNRF6EK24MXRBQUXM6IWQA}

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	2026-05-18T02:24:15.802150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fedab625f115ae32f10c297679168004dbfc85e2a533612c46049dcbec8045

Aliases

arxiv: 1004.4840 · arxiv_version: 1004.4840v1 · doi: 10.48550/arxiv.1004.4840 · pith_short_12: U77NVNRF6EK2 · pith_short_16: U77NVNRF6EK24MXR · pith_short_8: U77NVNRF

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/U77NVNRF6EK24MXRBQUXM6IWQA \
  | 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: a7fedab625f115ae32f10c297679168004dbfc85e2a533612c46049dcbec8045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a814653c0eca3023c557d49492cbc6850e53f455ce7c9589500a48271f2ff16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-27T15:52:19Z",
    "title_canon_sha256": "8ceaf06aa5cf5936c8b04db38ec17989a9c1c4b2f99723c0ca4fc7bdca755c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4840",
    "kind": "arxiv",
    "version": 1
  }
}