Pith Number

pith:GWV44EKD

pith:2017:GWV44EKDPCOO25BOQHVZKAP647

not attested not anchored not stored refs pending

On polar relative normalizations of ruled surfaces

Ioanna-Iris Papadopoulou, Stylianos Stamatakis

arxiv:1711.11035 v1 · 2017-11-29 · 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{GWV44EKDPCOO25BOQHVZKAP647}

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	2026-05-18T00:29:12.631728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35abce1143789ced742e81eb9501fee7d27c9ae536f766c5cc385d40305e1241

Aliases

arxiv: 1711.11035 · arxiv_version: 1711.11035v1 · doi: 10.48550/arxiv.1711.11035 · pith_short_12: GWV44EKDPCOO · pith_short_16: GWV44EKDPCOO25BO · pith_short_8: GWV44EKD

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/GWV44EKDPCOO25BOQHVZKAP647 \
  | 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: 35abce1143789ced742e81eb9501fee7d27c9ae536f766c5cc385d40305e1241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3635030fb5b83e9dfc13fff0039e7ca23385fae70e079c675e4cd6f4c77fa915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-29T07:45:41Z",
    "title_canon_sha256": "1036e7a134781e4b7ddd2fd9e25d90727a500c7c28dfc65912ff5193c64cc103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11035",
    "kind": "arxiv",
    "version": 1
  }
}