Pith Number

pith:LCZY6D4Q

pith:2014:LCZY6D4QUVF734QCM3LV75CAQ7

not attested not anchored not stored refs pending

A generalization of the Greene-Krantz theorem for the semicontinuity property of automorphism groups

Jae-Cheon Joo

arxiv:1410.0066 v1 · 2014-09-30 · 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{LCZY6D4QUVF734QCM3LV75CAQ7}

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	2026-05-18T01:03:24.111809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b38f0f90a54bfdf20266d75ff44087c33407dc84d7f25fe069a550df63e774

Aliases

arxiv: 1410.0066 · arxiv_version: 1410.0066v1 · doi: 10.48550/arxiv.1410.0066 · pith_short_12: LCZY6D4QUVF7 · pith_short_16: LCZY6D4QUVF734QC · pith_short_8: LCZY6D4Q

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/LCZY6D4QUVF734QCM3LV75CAQ7 \
  | 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: 58b38f0f90a54bfdf20266d75ff44087c33407dc84d7f25fe069a550df63e774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc048aceb72b422b5d3b09ce26b42fab03fb813fc110c771674f28de4e7db3bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-09-30T22:23:59Z",
    "title_canon_sha256": "c8a3061cd05a3655372d2c923d1e0634ca07aaea3c2a1f8f45ddff491438874d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0066",
    "kind": "arxiv",
    "version": 1
  }
}