Pith Number

pith:PMYNYRRB

pith:2010:PMYNYRRBVG5TGCKHY56B233I6J

not attested not anchored not stored refs pending

Null quadrature domains and a free boundary problem for the Laplacian

Avmir S. Margulis, Lavi Karp

arxiv:1003.1054 v2 · 2010-03-04 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMYNYRRBVG5TGCKHY56B233I6J}

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	2026-05-18T04:18:54.714080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b30dc4621a9bb330947c77c1d6f68f2566d733438dc3a9e72e952d3198a2353

Aliases

arxiv: 1003.1054 · arxiv_version: 1003.1054v2 · doi: 10.48550/arxiv.1003.1054 · pith_short_12: PMYNYRRBVG5T · pith_short_16: PMYNYRRBVG5TGCKH · pith_short_8: PMYNYRRB

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/PMYNYRRBVG5TGCKHY56B233I6J \
  | 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: 7b30dc4621a9bb330947c77c1d6f68f2566d733438dc3a9e72e952d3198a2353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5598650afc19f3f11298a1a665e2ad662512d902b402df1ff08bd4e2e5945d50",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-04T14:10:42Z",
    "title_canon_sha256": "4b994a748f78d4ad83b91078d786d2a2a96be4a9b59b9522b27e87cce5a21d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1054",
    "kind": "arxiv",
    "version": 2
  }
}