Pith Number

pith:VZVYNLWL

pith:2004:VZVYNLWLRZZWHW5AEZK77SCFKE

not attested not anchored not stored refs pending

An obstruction to the existence of constant scalar curvature K\"ahler metrics

J. Ross, R. P. Thomas

arxiv:math/0412518 v4 · 2004-12-29 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZVYNLWLRZZWHW5AEZK77SCFKE}

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	2026-07-04T14:50:09.284571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6b86aecb8e7363dba02655ffc8455100078cab28688e7c6baa5ddf84fb6a1e

Aliases

arxiv: math/0412518 · arxiv_version: math/0412518v4 · doi: 10.48550/arxiv.math/0412518 · pith_short_12: VZVYNLWLRZZW · pith_short_16: VZVYNLWLRZZWHW5A · pith_short_8: VZVYNLWL

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/VZVYNLWLRZZWHW5AEZK77SCFKE \
  | 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: ae6b86aecb8e7363dba02655ffc8455100078cab28688e7c6baa5ddf84fb6a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4d331c74884da1c8f577b1d39343e5fe40c673c2ac4465b67da5964c652ea5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-12-29T20:15:28Z",
    "title_canon_sha256": "bbf3e4032b63aeca1b1ce4bb3709a8b270739581a60277124c08ce5e085d1ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412518",
    "kind": "arxiv",
    "version": 4
  }
}