pith. sign in
Pith Number

pith:GQHAHAZP

pith:2025:GQHAHAZPLUYTKKQE2FTFD55YAN
not attested not anchored not stored refs pending

Closed Formulas for $\eta$-Corrections in the Once Punctured Torus

Nelson A. Colon Vargas

arxiv:2508.18334 v3 · 2025-08-25 · math.GT · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GQHAHAZPLUYTKKQE2FTFD55YAN}

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 2026-05-18T03:09:34.818278Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

340e03832f5d31352a04d16651f7b8037971417ac1fd26975ed76ada5750841a

Aliases

arxiv: 2508.18334 · arxiv_version: 2508.18334v3 · doi: 10.48550/arxiv.2508.18334 · pith_short_12: GQHAHAZPLUYT · pith_short_16: GQHAHAZPLUYTKKQE · pith_short_8: GQHAHAZP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQHAHAZPLUYTKKQE2FTFD55YAN \
  | 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: 340e03832f5d31352a04d16651f7b8037971417ac1fd26975ed76ada5750841a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "19223b8a4fa5fcebefaa278ab14ca2f17eed1ae97f4f2f1d26cb260638b1acb8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-25T11:57:49Z",
    "title_canon_sha256": "9322322717cea13353758039c4e5a1b7c44affc4417d09e02d81ff2ab51199ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18334",
    "kind": "arxiv",
    "version": 3
  }
}