Pith Number

pith:7GZLVRRU

pith:2014:7GZLVRRUZ67HPUEXXQZK6OED4J

not attested not anchored not stored refs pending

Tangential limits for harmonic functions with respect to $\phi(\Delta)$ : stable and beyond

Jaehoon Kang, Panki Kim

arxiv:1405.2141 v3 · 2014-05-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GZLVRRUZ67HPUEXXQZK6OED4J}

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	2026-05-18T02:39:48.238211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b2bac634cfbe77d097bc32af3883e249a0a25bfbbde21a510ab44b6c5ff0c7

Aliases

arxiv: 1405.2141 · arxiv_version: 1405.2141v3 · doi: 10.48550/arxiv.1405.2141 · pith_short_12: 7GZLVRRUZ67H · pith_short_16: 7GZLVRRUZ67HPUEX · pith_short_8: 7GZLVRRU

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/7GZLVRRUZ67HPUEXXQZK6OED4J \
  | 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: f9b2bac634cfbe77d097bc32af3883e249a0a25bfbbde21a510ab44b6c5ff0c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c844836988576264d397db4a10ae0c3d6ac49616f98b1b318dbe4026b0e9ba49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-09T05:01:16Z",
    "title_canon_sha256": "d60c4bf7234be50c2e8d9eb90e383893274ec8a3a3372fcff7c97f82ef484ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2141",
    "kind": "arxiv",
    "version": 3
  }
}