Pith. sign in
Pith Number

pith:73WSY7SU

pith:2023:73WSY7SUU24JFKCOTH25KQFHEA
not attested not anchored not stored refs pending

Systoles of hyperbolic hybrids

Sami Douba

arxiv:2309.16051 v1 · 2023-09-27 · math.GR · math.GT · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{73WSY7SUU24JFKCOTH25KQFHEA}

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 2026-07-05T10:28:12.324651Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

feed2c7e54a6b892a84e99f5d540a720126483338cef1bd412d41f0aa7d3e028

Aliases

arxiv: 2309.16051 · arxiv_version: 2309.16051v1 · doi: 10.48550/arxiv.2309.16051 · pith_short_12: 73WSY7SUU24J · pith_short_16: 73WSY7SUU24JFKCO · pith_short_8: 73WSY7SU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/73WSY7SUU24JFKCOTH25KQFHEA \
  | 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: feed2c7e54a6b892a84e99f5d540a720126483338cef1bd412d41f0aa7d3e028
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c005b76dde31138462e6e57434b65bc8f4ca6f0f37c4f3000b58064b480ae16a",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-09-27T22:14:36Z",
    "title_canon_sha256": "b0c3c1ccc3a878750de96d6966841fb90576f16c831f0b246c56d2a6e4cb9589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.16051",
    "kind": "arxiv",
    "version": 1
  }
}