Pith Number

pith:KJ7QQT7B

pith:2016:KJ7QQT7BNF3SW2GCDGE5FCUMYL

not attested not anchored not stored refs pending

Gradient Estimates of Mean Curvature Equation with Neumann Boundary Condition in $ M^n\times \mathbb{R}$

Dekai Zhang, Jinju Xu

arxiv:1606.06569 v1 · 2016-06-21 · 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{KJ7QQT7BNF3SW2GCDGE5FCUMYL}

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	2026-05-18T01:12:09.221054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527f084fe169772b68c21989d28a8cc2d3bb29e683f6a48f8b1ef59c5d55df91

Aliases

arxiv: 1606.06569 · arxiv_version: 1606.06569v1 · doi: 10.48550/arxiv.1606.06569 · pith_short_12: KJ7QQT7BNF3S · pith_short_16: KJ7QQT7BNF3SW2GC · pith_short_8: KJ7QQT7B

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/KJ7QQT7BNF3SW2GCDGE5FCUMYL \
  | 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: 527f084fe169772b68c21989d28a8cc2d3bb29e683f6a48f8b1ef59c5d55df91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11f5488de5afae95dbcb1a0881abe299a6a24a5540b83397d69fbc2107f9563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-21T13:43:55Z",
    "title_canon_sha256": "34b431fdcc825289d6eb5f155236927b47585763e6a82c91003fbebdd7a214f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06569",
    "kind": "arxiv",
    "version": 1
  }
}