Pith Number

pith:FP2XNKGO

pith:2009:FP2XNKGO7CY5BYWEWYWAMMZYVV

not attested not anchored not stored refs pending

Doubly connected minimal surfaces and extremal harmonic mappings

Jani Onninen, Leonid V. Kovalev, Tadeusz Iwaniec

arxiv:0912.3542 v2 · 2009-12-17 · 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{FP2XNKGO7CY5BYWEWYWAMMZYVV}

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	2026-05-18T03:54:04.618958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf576a8cef8b1d0e2c4b62c063338ad5f9f2eb0e9f1f6481de98c925d01b41a

Aliases

arxiv: 0912.3542 · arxiv_version: 0912.3542v2 · doi: 10.48550/arxiv.0912.3542 · pith_short_12: FP2XNKGO7CY5 · pith_short_16: FP2XNKGO7CY5BYWE · pith_short_8: FP2XNKGO

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/FP2XNKGO7CY5BYWEWYWAMMZYVV \
  | 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: 2bf576a8cef8b1d0e2c4b62c063338ad5f9f2eb0e9f1f6481de98c925d01b41a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2535ba606b308062cc71f3446ec1e6ac779c8af8509553a9856b54f633208d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-17T21:59:48Z",
    "title_canon_sha256": "3de9ea044268a80c0bb293ac918c130f68881ba4dbd39a559f14725be672f5d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3542",
    "kind": "arxiv",
    "version": 2
  }
}