Pith Number

pith:KK6ZZYDP

pith:2012:KK6ZZYDPSEYSGF6DMDIUK2IJJO

not attested not anchored not stored refs pending

Local approximation of superharmonic and superparabolic functions in nonlinear potential theory

Juha Kinnunen, Mikko Parviainen, Teemu Lukkari

arxiv:1208.2828 v1 · 2012-08-14 · 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{KK6ZZYDPSEYSGF6DMDIUK2IJJO}

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	2026-05-18T03:48:47.127852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52bd9ce06f91312317c360d14569094b9427966d3938f09b94bcbcf035ba152d

Aliases

arxiv: 1208.2828 · arxiv_version: 1208.2828v1 · doi: 10.48550/arxiv.1208.2828 · pith_short_12: KK6ZZYDPSEYS · pith_short_16: KK6ZZYDPSEYSGF6D · pith_short_8: KK6ZZYDP

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/KK6ZZYDPSEYSGF6DMDIUK2IJJO \
  | 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: 52bd9ce06f91312317c360d14569094b9427966d3938f09b94bcbcf035ba152d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f77d7be893fe52c9c61d5a146ffd312978690d3de6b147d40381989b5a4e47c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-14T11:16:11Z",
    "title_canon_sha256": "9d1d3400c1b343d11f577a0a5de6656a70303b3cf54fb420f1c8e93a781feb10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2828",
    "kind": "arxiv",
    "version": 1
  }
}