Pith Number

pith:CLBRPIQA

pith:2017:CLBRPIQAFVWOTMLNOGKPMULBF5

not attested not anchored not stored refs pending

Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

Alexander Isaev

arxiv:1709.07048 v1 · 2017-09-15 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLBRPIQAFVWOTMLNOGKPMULBF5}

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	2026-05-18T00:34:36.741038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c317a2002d6ce9b16d7194f651612f569967829d1e5c51a463bfb68233fe69

Aliases

arxiv: 1709.07048 · arxiv_version: 1709.07048v1 · doi: 10.48550/arxiv.1709.07048 · pith_short_12: CLBRPIQAFVWO · pith_short_16: CLBRPIQAFVWOTMLN · pith_short_8: CLBRPIQA

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/CLBRPIQAFVWOTMLNOGKPMULBF5 \
  | 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: 12c317a2002d6ce9b16d7194f651612f569967829d1e5c51a463bfb68233fe69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d64190fd24a1c83acddaf749d82aef38a3b0d2e5721b1c35d88a05444f09868",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-09-15T09:25:13Z",
    "title_canon_sha256": "ff3f2cf3c171a687bf1c91008ab066a9a5f30a1ebd3aae64d3caa2c019743232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07048",
    "kind": "arxiv",
    "version": 1
  }
}