Pith Number

pith:RNR2SZ3R

pith:2022:RNR2SZ3RR7NKDVZ7DNXRKPU6PN

not attested not anchored not stored refs pending

Atiyah-Bott formula and homological block of Seifert fibered homology $3$-spheres

Shoma Sugimoto

arxiv:2208.05689 v3 · 2022-08-11 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNR2SZ3RR7NKDVZ7DNXRKPU6PN}

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.

Cited by

1 paper in Pith

Derivations on the triplet $W$-algebras with $\mathfrak{sl}_2$-symmetry

Receipt and verification

First computed	2026-07-05T06:21:48.986536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b63a967718fdaa1d73f1b6f153e9e7b7b8effe9e47428b3316497f0caae13b4

Aliases

arxiv: 2208.05689 · arxiv_version: 2208.05689v3 · doi: 10.48550/arxiv.2208.05689 · pith_short_12: RNR2SZ3RR7NK · pith_short_16: RNR2SZ3RR7NKDVZ7 · pith_short_8: RNR2SZ3R

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/RNR2SZ3RR7NKDVZ7DNXRKPU6PN \
  | 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: 8b63a967718fdaa1d73f1b6f153e9e7b7b8effe9e47428b3316497f0caae13b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c391ddf2e87b3550bcf404995f0660e54da73b4cc63a3032ead17914fb21bf",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-08-11T08:12:39Z",
    "title_canon_sha256": "4e8e7e4954bd0be2fe1e7db80bf1ab36a34be9d95c3f088f1228fa4ba6d94340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05689",
    "kind": "arxiv",
    "version": 3
  }
}