Pith Number

pith:IVXASGPC

pith:2017:IVXASGPCZ4R4MRU73E6K4VN4FQ

not attested not anchored not stored refs pending

The Second Main Theorem in the hyperbolic case

Min Ru, Nessim Sibony

arxiv:1712.09576 v2 · 2017-12-27 · 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{IVXASGPCZ4R4MRU73E6K4VN4FQ}

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	2026-05-17T23:57:03.118492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

456e0919e2cf23c6469fd93cae55bc2c18503582e0e151bada62cf49c79a8612

Aliases

arxiv: 1712.09576 · arxiv_version: 1712.09576v2 · doi: 10.48550/arxiv.1712.09576 · pith_short_12: IVXASGPCZ4R4 · pith_short_16: IVXASGPCZ4R4MRU7 · pith_short_8: IVXASGPC

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/IVXASGPCZ4R4MRU73E6K4VN4FQ \
  | 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: 456e0919e2cf23c6469fd93cae55bc2c18503582e0e151bada62cf49c79a8612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5577736f78aa108e7c34e533124475bb96e8b35baaf0c788ca77ba97421368a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-12-27T13:17:08Z",
    "title_canon_sha256": "45263d517ec1380246cc2d9365c8a330feace3bb3b5ed6c55debb4fd9ec31b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09576",
    "kind": "arxiv",
    "version": 2
  }
}