Pith Number

pith:BRMCX2CP

pith:2012:BRMCX2CPLLDURSHH3MSJ2MIE5C

not attested not anchored not stored refs pending

Liouville and Calabi-Yau type theorems for complex Hessian equations

Slawomir Dinew, Slawomir Kolodziej

arxiv:1203.3995 v2 · 2012-03-18 · 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{BRMCX2CPLLDURSHH3MSJ2MIE5C}

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	2026-05-18T00:42:13.892909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c582be84f5ac748c8e7db249d3104e8b4e7cf9dcfca71d1defa6c54f749ad13

Aliases

arxiv: 1203.3995 · arxiv_version: 1203.3995v2 · doi: 10.48550/arxiv.1203.3995 · pith_short_12: BRMCX2CPLLDU · pith_short_16: BRMCX2CPLLDURSHH · pith_short_8: BRMCX2CP

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/BRMCX2CPLLDURSHH3MSJ2MIE5C \
  | 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: 0c582be84f5ac748c8e7db249d3104e8b4e7cf9dcfca71d1defa6c54f749ad13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f7ac6f49877e5d9f5b81d500e8cb7dda2ce9292dd741b24367a3588a4c9286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-18T20:59:46Z",
    "title_canon_sha256": "09f9fbb6e844f7def3af606348dbdbff7d9aeeadeb463f7aa470ab8574bbb0cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3995",
    "kind": "arxiv",
    "version": 2
  }
}