Pith Number

pith:UDLUQIYI

pith:2026:UDLUQIYI5C6CDUVD3D2CBTFXYZ

not attested not anchored not stored refs pending

Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces

Yuta Watanabe

arxiv:2606.16275 v2 · 2026-06-15 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDLUQIYI5C6CDUVD3D2CBTFXYZ}

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

Steenbrink vanishing theorem for big line bundles

Receipt and verification

First computed	2026-07-20T01:18:36.213099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d7482308e8bc21d2a3d8f420ccb7c64154b114ba9e204a4f524989bce3521b

Aliases

arxiv: 2606.16275 · arxiv_version: 2606.16275v2 · doi: 10.48550/arxiv.2606.16275 · pith_short_12: UDLUQIYI5C6C · pith_short_16: UDLUQIYI5C6CDUVD · pith_short_8: UDLUQIYI

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/UDLUQIYI5C6CDUVD3D2CBTFXYZ \
  | 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: a0d7482308e8bc21d2a3d8f420ccb7c64154b114ba9e204a4f524989bce3521b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2acb381ed57f0febd67fca83476a5887d62e2c2914f858d938bc8999054dffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-06-15T06:27:44Z",
    "title_canon_sha256": "0ab00d840f2e1a266464785be9be871bba375defb31004781c85f44458c5eb97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16275",
    "kind": "arxiv",
    "version": 2
  }
}