Pith Number

pith:VWMUBWZR

pith:2024:VWMUBWZR6IUPBWDRE3DB2ATJ4P

not attested not anchored not stored refs pending

Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds

Fusheng Deng, Gang Huang, Xiangsen Qin

arxiv:2409.19353 v1 · 2024-09-28 · math.CV · 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{VWMUBWZR6IUPBWDRE3DB2ATJ4P}

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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

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact K\"ahler manifolds

Receipt and verification

First computed	2026-07-05T09:13:14.251379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9940db31f228f0d87126c61d0269e3f9dac84d493ea71aaee45ec25e598643

Aliases

arxiv: 2409.19353 · arxiv_version: 2409.19353v1 · doi: 10.48550/arxiv.2409.19353 · pith_short_12: VWMUBWZR6IUP · pith_short_16: VWMUBWZR6IUPBWDR · pith_short_8: VWMUBWZR

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/VWMUBWZR6IUPBWDRE3DB2ATJ4P \
  | 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: ad9940db31f228f0d87126c61d0269e3f9dac84d493ea71aaee45ec25e598643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1a44e8baaeabc37bd8084e6dc93d7c9d30d57d38636922c18bc47d861e4a5e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-09-28T13:52:40Z",
    "title_canon_sha256": "61a390388ec433077806de48314e97d4cef94c14acd2c01242b22191e5546f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.19353",
    "kind": "arxiv",
    "version": 1
  }
}