Pith Number

pith:JXEFJL4O

pith:2017:JXEFJL4OKJBLB6DR5HIYQHY6NM

not attested not anchored not stored refs pending

Levi-Kahler reduction of CR structures, products of spheres, and toric geometry

David M J Calderbank, Eveline Legendre, Paul Gauduchon, Vestislav Apostolov

arxiv:1708.05253 v1 · 2017-08-17 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXEFJL4OKJBLB6DR5HIYQHY6NM}

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	2026-05-18T00:37:53.466388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc854af8e5242b0f871e9d1881f1e6b0bb56d5a2ad399027e0b82603d08d162

Aliases

arxiv: 1708.05253 · arxiv_version: 1708.05253v1 · doi: 10.48550/arxiv.1708.05253 · pith_short_12: JXEFJL4OKJBL · pith_short_16: JXEFJL4OKJBLB6DR · pith_short_8: JXEFJL4O

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/JXEFJL4OKJBLB6DR5HIYQHY6NM \
  | 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: 4dc854af8e5242b0f871e9d1881f1e6b0bb56d5a2ad399027e0b82603d08d162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5948ea2bd266d985f6abfbcab04bdead6fbd2aab4ccb863bf6fa0833bae70c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-17T13:09:59Z",
    "title_canon_sha256": "9de19eca94bd9b3999a91da35dec1b39e707ae61f1526302bc05a263199ec787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05253",
    "kind": "arxiv",
    "version": 1
  }
}