Pith Number

pith:NKS56QKZ

pith:2021:NKS56QKZ4PUTDVOB6R523RCUPU

not attested not anchored not stored refs pending

$J$-equation on holomorphic vector bundles

Ryosuke Takahashi

arxiv:2112.00550 v4 · 2021-12-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKS56QKZ4PUTDVOB6R523RCUPU}

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

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation

Receipt and verification

First computed	2026-07-05T07:16:30.942566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa5df4159e3e931d5c1f47badc4547d3ac38541163b4a215110bb87594525dc

Aliases

arxiv: 2112.00550 · arxiv_version: 2112.00550v4 · doi: 10.48550/arxiv.2112.00550 · pith_short_12: NKS56QKZ4PUT · pith_short_16: NKS56QKZ4PUTDVOB · pith_short_8: NKS56QKZ

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/NKS56QKZ4PUTDVOB6R523RCUPU \
  | 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: 6aa5df4159e3e931d5c1f47badc4547d3ac38541163b4a215110bb87594525dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab759cf774b76c504727f73d4eda31ef56035bc8ef428adcd807d508a7d5ee2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-01T15:11:16Z",
    "title_canon_sha256": "99626d3c8e2aa1bdb4ac8f8477dca725531559d3a16f905b136cf7cafbb3b82c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00550",
    "kind": "arxiv",
    "version": 4
  }
}