Pith Number

pith:YUGJQY7H

pith:2010:YUGJQY7HWNEMVOQYHGNEP3D64Q

not attested not anchored not stored refs pending

The K-energy on small deformations of constant scalar curvature Kahler manifolds

Valentino Tosatti

arxiv:1010.1859 v1 · 2010-10-09 · 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{YUGJQY7HWNEMVOQYHGNEP3D64Q}

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	2026-05-18T03:51:48.913705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c50c9863e7b348caba18399a47ec7ee41642277d263fc093be456ec570aa06d8

Aliases

arxiv: 1010.1859 · arxiv_version: 1010.1859v1 · doi: 10.48550/arxiv.1010.1859 · pith_short_12: YUGJQY7HWNEM · pith_short_16: YUGJQY7HWNEMVOQY · pith_short_8: YUGJQY7H

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/YUGJQY7HWNEMVOQYHGNEP3D64Q \
  | 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: c50c9863e7b348caba18399a47ec7ee41642277d263fc093be456ec570aa06d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd888d3176eb28ea04ab1b57355c6fcc8d0b41b73bccaacaeab3d0a227074c7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-09T16:50:55Z",
    "title_canon_sha256": "4ed5c5ea89425ee51506c176c26cd6b28ac124c9fea0c41e5fb3dbfb9158ff68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1859",
    "kind": "arxiv",
    "version": 1
  }
}