Pith Number

pith:TDB7WJKS

pith:2012:TDB7WJKSR7OCYH5PTIOFKLDLPQ

not attested not anchored not stored refs pending

Subsolution theorem for the complex Hessian equation

Ngoc Cuong Nguyen

arxiv:1212.4627 v2 · 2012-12-19 · 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{TDB7WJKSR7OCYH5PTIOFKLDLPQ}

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	2026-05-18T02:30:08.706241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c3fb25528fdc2c1faf9a1c552c6b7c36b7823179195143b2a1ff74e4b56d41

Aliases

arxiv: 1212.4627 · arxiv_version: 1212.4627v2 · doi: 10.48550/arxiv.1212.4627 · pith_short_12: TDB7WJKSR7OC · pith_short_16: TDB7WJKSR7OCYH5P · pith_short_8: TDB7WJKS

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/TDB7WJKSR7OCYH5PTIOFKLDLPQ \
  | 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: 98c3fb25528fdc2c1faf9a1c552c6b7c36b7823179195143b2a1ff74e4b56d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3707f11cf2495974caabdeab8a46c644e4f09e25a8b9ba3cd816d5852e2bd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-19T11:41:04Z",
    "title_canon_sha256": "ec955ecc7d939dd372332e8eaf10165b1ff95b9e7c13d2c83c6e171f32121cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4627",
    "kind": "arxiv",
    "version": 2
  }
}