Pith Number

pith:2IZJ7NBC

pith:2019:2IZJ7NBCJAH4TKD3VJ2JJDR25V

not attested not anchored not stored refs pending

Basic Kirwan injectivity and its applications

Xiangdong Yang, Yi Lin

arxiv:1902.06187 v3 · 2019-02-17 · math.SG · 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{2IZJ7NBCJAH4TKD3VJ2JJDR25V}

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

Dolbeault cohomology of complex manifolds with torus action

Receipt and verification

First computed	2026-07-05T04:43:55.532490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2329fb422480fc9a87baa74948e3aed58a3a4963a7fc45e0e2a029f46570b20

Aliases

arxiv: 1902.06187 · arxiv_version: 1902.06187v3 · doi: 10.48550/arxiv.1902.06187 · pith_short_12: 2IZJ7NBCJAH4 · pith_short_16: 2IZJ7NBCJAH4TKD3 · pith_short_8: 2IZJ7NBC

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/2IZJ7NBCJAH4TKD3VJ2JJDR25V \
  | 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: d2329fb422480fc9a87baa74948e3aed58a3a4963a7fc45e0e2a029f46570b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52be4c466798cbdaf6270a0a3cd5e9224c94557664cb909177166402d92249cc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-02-17T02:07:53Z",
    "title_canon_sha256": "de6a8e362baaeb2bf5911257e7f37efca8bc7c9ae88a0c817a3263cef6aa393c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06187",
    "kind": "arxiv",
    "version": 3
  }
}