Pith Number

pith:JKLEJOIB

pith:2018:JKLEJOIBF5Z3BHRIFAYIHHO6P5

not attested not anchored not stored refs pending

On $n$-superharmonic functions and some geometric applications

Jie Qing, Shiguang Ma

arxiv:1810.10561 v2 · 2018-10-24 · 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{JKLEJOIBF5Z3BHRIFAYIHHO6P5}

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	2026-05-17T23:40:49.454566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9644b9012f73b09e282830839dde7f5e43764495674151c93da7ea166bb8e6

Aliases

arxiv: 1810.10561 · arxiv_version: 1810.10561v2 · doi: 10.48550/arxiv.1810.10561 · pith_short_12: JKLEJOIBF5Z3 · pith_short_16: JKLEJOIBF5Z3BHRI · pith_short_8: JKLEJOIB

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/JKLEJOIBF5Z3BHRIFAYIHHO6P5 \
  | 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: 4a9644b9012f73b09e282830839dde7f5e43764495674151c93da7ea166bb8e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7aef945407dd948f445dabc29b5ac0329d857d87496fdc0fb37db3c5a5a7087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-24T18:08:54Z",
    "title_canon_sha256": "2e4fa244361e6ff9f3f8bbd15e46e50be653887d625d60d60d07febda5b4d493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10561",
    "kind": "arxiv",
    "version": 2
  }
}