Pith Number

pith:MWPLT67W

pith:2019:MWPLT67W5OA3IJPP2XTRJXOAC4

not attested not anchored not stored refs pending

The Dirichlet Problem for the $k$-Hessian Equation on a complex manifold

Sebastien Picard, Tristan C. Collins

arxiv:1909.00447 v1 · 2019-09-01 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWPLT67W5OA3IJPP2XTRJXOAC4}

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

Complex Hessian equations with prescribed singularity on compact K\"ahler manifolds

Receipt and verification

First computed	2026-07-05T00:01:09.214097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659eb9fbf6eb81b425efd5e714ddc0173855d53ccaddd86fc355ab5d1fbe7bae

Aliases

arxiv: 1909.00447 · arxiv_version: 1909.00447v1 · doi: 10.48550/arxiv.1909.00447 · pith_short_12: MWPLT67W5OA3 · pith_short_16: MWPLT67W5OA3IJPP · pith_short_8: MWPLT67W

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/MWPLT67W5OA3IJPP2XTRJXOAC4 \
  | 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: 659eb9fbf6eb81b425efd5e714ddc0173855d53ccaddd86fc355ab5d1fbe7bae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748c27b4399d8e91e7945fb7e24d383e2a784c3abf766eaa8ec1fac8d852484f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-01T18:50:13Z",
    "title_canon_sha256": "454bcd5f55f10eedb4ff5fcd32383b2c8ef9f3f9dce48c4473ca9b37aeef38ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00447",
    "kind": "arxiv",
    "version": 1
  }
}