Pith. sign in
Pith Number

pith:XW2VIJU7

pith:2025:XW2VIJU7VZB3Z7VY7GXPIFFMBS
not attested not anchored not stored refs pending

Rationally Convex Surfaces with hyperbolic complex tangencies

Georgios Dimitroglou Rizell, Mark G. Lawrence

arxiv:2502.03357 v1 · 2025-02-05 · math.SG · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XW2VIJU7VZB3Z7VY7GXPIFFMBS}

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 2026-07-05T10:10:03.777995Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bdb554269fae43bcfeb8f9aef414ac0cb9a95dd30f7b80517fa3a8b291fd8afa

Aliases

arxiv: 2502.03357 · arxiv_version: 2502.03357v1 · doi: 10.48550/arxiv.2502.03357 · pith_short_12: XW2VIJU7VZB3 · pith_short_16: XW2VIJU7VZB3Z7VY · pith_short_8: XW2VIJU7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XW2VIJU7VZB3Z7VY7GXPIFFMBS \
  | 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: bdb554269fae43bcfeb8f9aef414ac0cb9a95dd30f7b80517fa3a8b291fd8afa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "de33c8d79417663b572b34b081d13a11f9436917e5e0497aad00a0c1caa504e2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-02-05T16:53:45Z",
    "title_canon_sha256": "faf9a12db59f20161fe88182c754551e1c6eb181e59be4c41b9303589e95ca45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03357",
    "kind": "arxiv",
    "version": 1
  }
}