Pith Number

pith:6CRZBLUT

pith:2017:6CRZBLUTHHBPN5DLEVBFS7PNZJ

not attested not anchored not stored refs pending

Strict convexity of the Mabuchi functional for energy minimizers

Long Li

arxiv:1711.09717 v1 · 2017-11-27 · math.DG · 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{6CRZBLUTHHBPN5DLEVBFS7PNZJ}

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	2026-05-18T00:29:34.723859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a390ae9339c2f6f46b2542597dedca5f48ac3c6747586f8b8f38016ada128d

Aliases

arxiv: 1711.09717 · arxiv_version: 1711.09717v1 · doi: 10.48550/arxiv.1711.09717 · pith_short_12: 6CRZBLUTHHBP · pith_short_16: 6CRZBLUTHHBPN5DL · pith_short_8: 6CRZBLUT

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/6CRZBLUTHHBPN5DLEVBFS7PNZJ \
  | 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: f0a390ae9339c2f6f46b2542597dedca5f48ac3c6747586f8b8f38016ada128d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b529c15ed762479cfcbf3011617ce9c1edacb15e4ae0cd2875bc009a5a0fe91c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-27T14:47:31Z",
    "title_canon_sha256": "f9c4f7549c07e9c6a7da2c47b865b75569b7ab5078574684d9d45e2dcdec8e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09717",
    "kind": "arxiv",
    "version": 1
  }
}