Pith Number

pith:AUCBOPIO

pith:2018:AUCBOPIOYKNLVAHN7A367L45OY

not attested not anchored not stored refs pending

The Dirichlet problem for $m$-subharmonic functions on compact sets

Lisa Hed, Per Ahag, Rafal Czyz

arxiv:1812.06420 v1 · 2018-12-16 · math.CV · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUCBOPIOYKNLVAHN7A367L45OY}

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	2026-05-17T23:58:10.292173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0504173d0ec29aba80edf837efaf9d763215028c98e17f3a9bbe35197859fc13

Aliases

arxiv: 1812.06420 · arxiv_version: 1812.06420v1 · doi: 10.48550/arxiv.1812.06420 · pith_short_12: AUCBOPIOYKNL · pith_short_16: AUCBOPIOYKNLVAHN · pith_short_8: AUCBOPIO

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/AUCBOPIOYKNLVAHN7A367L45OY \
  | 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: 0504173d0ec29aba80edf837efaf9d763215028c98e17f3a9bbe35197859fc13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324fc8bdfa77e3588b1081b8921bd74874bc04c14fdde8faac051dc0dca3ddfa",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-12-16T08:32:12Z",
    "title_canon_sha256": "cfaa39210f9d3967033445cd0953215a09ad58f93bf0a434c41a5e085f5648d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06420",
    "kind": "arxiv",
    "version": 1
  }
}