Pith. sign in
Pith Number

pith:CY6XPQAO

pith:2025:CY6XPQAO7H2YPJNFJJKYR4DB7D
not attested not anchored not stored refs pending

Fubini-Study forms on punctured Riemann surfaces

Lei Wang, Razvan Apredoaei, Xiaonan Ma

arxiv:2506.05863 v2 · 2025-06-06 · math.CV · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CY6XPQAO7H2YPJNFJJKYR4DB7D}

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 2026-07-05T11:21:48.244371Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

163d77c00ef9f587a5a54a5588f061f8ea084cad64577666495fa85818fe0077

Aliases

arxiv: 2506.05863 · arxiv_version: 2506.05863v2 · doi: 10.48550/arxiv.2506.05863 · pith_short_12: CY6XPQAO7H2Y · pith_short_16: CY6XPQAO7H2YPJNF · pith_short_8: CY6XPQAO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CY6XPQAO7H2YPJNFJJKYR4DB7D \
  | 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: 163d77c00ef9f587a5a54a5588f061f8ea084cad64577666495fa85818fe0077
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0a03bcfd508fe8571f90b211c31545fdf15f379f5a2e60d2167f0303680fe95d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-06-06T08:32:15Z",
    "title_canon_sha256": "7166f74448c8506387532cd96a4bfa05c5647e365285f2aa3951c9c5f8d21734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05863",
    "kind": "arxiv",
    "version": 2
  }
}