Pith Number

pith:ST2XV4IM

pith:2010:ST2XV4IMIWCID34ASKH3MVOWRP

not attested not anchored not stored refs pending

Monotonicity Formulae and Holomorphicity of Harmonic Maps between K\"ahler manifolds

Yuxin Dong

arxiv:1011.6016 v2 · 2010-11-28 · 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{ST2XV4IMIWCID34ASKH3MVOWRP}

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	2026-05-18T02:58:01.425985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f57af10c458481ef80928fb655d68bcdcff6786a0da9bff70f0b636a46f337

Aliases

arxiv: 1011.6016 · arxiv_version: 1011.6016v2 · doi: 10.48550/arxiv.1011.6016 · pith_short_12: ST2XV4IMIWCI · pith_short_16: ST2XV4IMIWCID34A · pith_short_8: ST2XV4IM

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/ST2XV4IMIWCID34ASKH3MVOWRP \
  | 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: 94f57af10c458481ef80928fb655d68bcdcff6786a0da9bff70f0b636a46f337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160976e480f862d8ab9174fda36a7179c52ce91d0f92eef1322c603c0d171abd",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-28T07:43:23Z",
    "title_canon_sha256": "b93e3391608d59d6246d708011e70e1ac278737b64dd35f4fb1dd06c3fd77d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6016",
    "kind": "arxiv",
    "version": 2
  }
}