Pith Number

pith:JGLFIKHD

pith:2024:JGLFIKHD6AHXVRWYB7RJULNUQF

not attested not anchored not stored refs pending

$C^2$ estimates for $k$-Hessian equations and a rigidity theorem

Ruijia Zhang

arxiv:2408.10781 v2 · 2024-08-20 · math.AP · 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{JGLFIKHD6AHXVRWYB7RJULNUQF}

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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

Second order estimates for $\chi$-semi convex solutions of Hessian equations on Hermitian manifolds

Receipt and verification

First computed	2026-07-05T10:14:44.793684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49965428e3f00f7ac6d80fe29a2db48148217f9fa280d570dc5b57648c69a7f4

Aliases

arxiv: 2408.10781 · arxiv_version: 2408.10781v2 · doi: 10.48550/arxiv.2408.10781 · pith_short_12: JGLFIKHD6AHX · pith_short_16: JGLFIKHD6AHXVRWY · pith_short_8: JGLFIKHD

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/JGLFIKHD6AHXVRWYB7RJULNUQF \
  | 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: 49965428e3f00f7ac6d80fe29a2db48148217f9fa280d570dc5b57648c69a7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcafb7aeeb18d07b4210316b4d780564af6e801248ae5ecdcb2a058d7190aa51",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-20T12:20:27Z",
    "title_canon_sha256": "11c624b2d912547d7429c5e6fdeda325f79d1bbc9197fd323194b6a08ab131cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.10781",
    "kind": "arxiv",
    "version": 2
  }
}