Pith Number

pith:HXON235B

pith:2014:HXON235BMJHSYSPQO4KL7EWNXR

not attested not anchored not stored refs pending

Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem

Jian Song

arxiv:1409.8374 v1 · 2014-09-30 · math.DG · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXON235BMJHSYSPQO4KL7EWNXR}

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.

Cited by

1 paper in Pith

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics

Receipt and verification

First computed	2026-05-18T02:41:25.463695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ddcdd6fa1624f2c49f07714bf92cdbc7ad9af58e11f128e072f4ab11f1688b5

Aliases

arxiv: 1409.8374 · arxiv_version: 1409.8374v1 · doi: 10.48550/arxiv.1409.8374 · pith_short_12: HXON235BMJHS · pith_short_16: HXON235BMJHSYSPQ · pith_short_8: HXON235B

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/HXON235BMJHSYSPQO4KL7EWNXR \
  | 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: 3ddcdd6fa1624f2c49f07714bf92cdbc7ad9af58e11f128e072f4ab11f1688b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae196b1a8996721e59d1174b9954b7e6f8312a0cde0f8e082584b9398ce0420",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-30T03:18:38Z",
    "title_canon_sha256": "420f3003292b91a6416cbd661d79093560db88f521de6277ea8445b902b8fdab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8374",
    "kind": "arxiv",
    "version": 1
  }
}