Pith Number

pith:ODL6BRHV

pith:2010:ODL6BRHV66TZLFIF54A25BTOF4

not attested not anchored not stored refs pending

Convexity properties and complete hyperbolicity of Lempert's elliptic tubes

Alberto Saracco, Daniele Alessandrini

arxiv:1002.3338 v1 · 2010-02-17 · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODL6BRHV66TZLFIF54A25BTOF4}

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	2026-05-18T00:05:09.976304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d7e0c4f5f7a7959505ef01ae866e2f2f671d2102015a7386fea35514d711cb

Aliases

arxiv: 1002.3338 · arxiv_version: 1002.3338v1 · doi: 10.48550/arxiv.1002.3338 · pith_short_12: ODL6BRHV66TZ · pith_short_16: ODL6BRHV66TZLFIF · pith_short_8: ODL6BRHV

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/ODL6BRHV66TZLFIF54A25BTOF4 \
  | 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: 70d7e0c4f5f7a7959505ef01ae866e2f2f671d2102015a7386fea35514d711cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40bc18acb6d9edaa5068031b8b533515c5adca382c6269334f72cae3a6e01c59",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-02-17T18:09:53Z",
    "title_canon_sha256": "b5d2c63e5f32188424847dc952851efd60f57c3a3cb34941844473e5521abae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3338",
    "kind": "arxiv",
    "version": 1
  }
}