Pith Number

pith:Z7KS7S3C

pith:2023:Z7KS7S3CUZQHCERQ2BGVAW2TZE

not attested not anchored not stored refs pending

Gradient estimate and Universal bounds for semilinear elliptic equations on RCD$^*$(K,N) metric measure spaces

Zhihao Lu

arxiv:2308.14764 v2 · 2023-08-27 · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7KS7S3CUZQHCERQ2BGVAW2TZE}

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	2026-05-21T01:04:11.201761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd52fcb62a660711230d04d505b53c9327c9fc54c4d65a6d0e1784caa3ddf6b

Aliases

arxiv: 2308.14764 · arxiv_version: 2308.14764v2 · doi: 10.48550/arxiv.2308.14764 · pith_short_12: Z7KS7S3CUZQH · pith_short_16: Z7KS7S3CUZQHCERQ · pith_short_8: Z7KS7S3C

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/Z7KS7S3CUZQHCERQ2BGVAW2TZE \
  | 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: cfd52fcb62a660711230d04d505b53c9327c9fc54c4d65a6d0e1784caa3ddf6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a21df18d0eb8a93d08ec151009f79b551a27e6c13734f39f84f65f2c169748",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-08-27T10:06:03Z",
    "title_canon_sha256": "ccfeb98af52f9e9b19eaeb0740a5589dfd0cd905c0f5d70e3323a99ed2716e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.14764",
    "kind": "arxiv",
    "version": 2
  }
}