Pith Number

pith:OMSOL2RA

pith:2026:OMSOL2RAYMZQTYOKWRYAEFPNIV

not attested not anchored not stored refs pending

Upper Bounds for Hessian Matrices of Positive Solutions to Heat Equations on K\"ahler Manifolds

Anqiang Zhu, Wenshuo Zhao

arxiv:2607.09034 v1 · 2026-07-10 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMSOL2RAYMZQTYOKWRYAEFPNIV}

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.

Receipt and verification

First computed	2026-07-13T00:17:35.965439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7324e5ea20c33309e1cab4700215ed4562560a9bc24018909daa4433a73c1a59

Aliases

arxiv: 2607.09034 · arxiv_version: 2607.09034v1 · doi: 10.48550/arxiv.2607.09034 · pith_short_12: OMSOL2RAYMZQ · pith_short_16: OMSOL2RAYMZQTYOK · pith_short_8: OMSOL2RA

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/OMSOL2RAYMZQTYOKWRYAEFPNIV \
  | 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: 7324e5ea20c33309e1cab4700215ed4562560a9bc24018909daa4433a73c1a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81e603266711effde2e897a165c3931d34ac56fefaefa9413aa822de6ff5655",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-10T01:44:22Z",
    "title_canon_sha256": "28f9597c5f36e3531bbb99a57be32f24f74653dd52304ac602c68e4b0bea86fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09034",
    "kind": "arxiv",
    "version": 1
  }
}