Pith Number

pith:CRSOLGGD

pith:2017:CRSOLGGD6EUPG7SMJ6RRV55U3U

not attested not anchored not stored refs pending

Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds

Bingqing Ma, Guangyue Huang, Yong Luo

arxiv:1710.09519 v4 · 2017-10-26 · 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{CRSOLGGD6EUPG7SMJ6RRV55U3U}

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	2026-05-18T00:30:40.418778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1464e598c3f128f37e4c4fa31af7b4dd1ee0aba789fa64160b344d7b3e312b11

Aliases

arxiv: 1710.09519 · arxiv_version: 1710.09519v4 · doi: 10.48550/arxiv.1710.09519 · pith_short_12: CRSOLGGD6EUP · pith_short_16: CRSOLGGD6EUPG7SM · pith_short_8: CRSOLGGD

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/CRSOLGGD6EUPG7SMJ6RRV55U3U \
  | 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: 1464e598c3f128f37e4c4fa31af7b4dd1ee0aba789fa64160b344d7b3e312b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1bea7df83cb6d02b961d6a13e1e8965f2101340eb7d8b05bd6cf6b8f4aa8170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-26T03:02:43Z",
    "title_canon_sha256": "06ed9e1a09d3d09689195787d77994a1794afd3346a5f8e119f1dd381e60787c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09519",
    "kind": "arxiv",
    "version": 4
  }
}