Pith Number

pith:OPDZEGPP

pith:2017:OPDZEGPPO36VJMMNR4U76VDVQ4

not attested not anchored not stored refs pending

On necessary and sufficient conditions for the Kobayashi hyperbolicity of tube domains in ${\mathbb C}^2$

Alexander Isaev

arxiv:1711.04487 v1 · 2017-11-13 · 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{OPDZEGPPO36VJMMNR4U76VDVQ4}

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	2026-05-18T00:30:38.816698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c79219ef76fd54b18d8f29ff54758701d43c25b1e4ecb26e53285f40833ec5

Aliases

arxiv: 1711.04487 · arxiv_version: 1711.04487v1 · doi: 10.48550/arxiv.1711.04487 · pith_short_12: OPDZEGPPO36V · pith_short_16: OPDZEGPPO36VJMMN · pith_short_8: OPDZEGPP

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/OPDZEGPPO36VJMMNR4U76VDVQ4 \
  | 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: 73c79219ef76fd54b18d8f29ff54758701d43c25b1e4ecb26e53285f40833ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304b5112c227257a14f0875e9b1014315f166cf064528fb2da4c99c2f56542ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-11-13T09:23:07Z",
    "title_canon_sha256": "2ac09f7bdbe0af80b6f2d5f7926d579886f338e0b015b6327e60cbf1cb751380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04487",
    "kind": "arxiv",
    "version": 1
  }
}