Pith Number

pith:CR3F2WN4

pith:2009:CR3F2WN4UCVSTG56J7KHPXJ2BA

not attested not anchored not stored refs pending

Regularity of weak solutions of a complex Monge-Amp\`ere equation

G\'abor Sz\'ekelyhidi, Valentino Tosatti

arxiv:0912.1808 v2 · 2009-12-09 · 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{CR3F2WN4UCVSTG56J7KHPXJ2BA}

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	2026-05-18T04:04:52.277255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14765d59bca0ab299bbe4fd477dd3a080e759f2e740bdacab879fc3ec35507e2

Aliases

arxiv: 0912.1808 · arxiv_version: 0912.1808v2 · doi: 10.48550/arxiv.0912.1808 · pith_short_12: CR3F2WN4UCVS · pith_short_16: CR3F2WN4UCVSTG56 · pith_short_8: CR3F2WN4

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/CR3F2WN4UCVSTG56J7KHPXJ2BA \
  | 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: 14765d59bca0ab299bbe4fd477dd3a080e759f2e740bdacab879fc3ec35507e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b34c0b2bbb5ea3c07d585c5dbd34dae9936cc36b41bc920ff68226e81936342",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-09T17:26:23Z",
    "title_canon_sha256": "3cd74fb7fe45bf9a19075a6efc4422b3ff75fcc905ce1b34159f7789c73f4e8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1808",
    "kind": "arxiv",
    "version": 2
  }
}