Pith Number

pith:5NZJSOFB

pith:2019:5NZJSOFBIHMJWRU7APZUEVCNPB

not attested not anchored not stored refs pending

A Pogorelov estimate and a Liouville type theorem to parabolic $k$-Hessian equations

Haoyang Sheng, Ni Xiang, Yan He

arxiv:1907.07006 v1 · 2019-07-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NZJSOFBIHMJWRU7APZUEVCNPB}

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	2026-05-17T23:40:28.369243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb729938a141d89b469f03f342544d786836033978be3e20c1615038d607a2e2

Aliases

arxiv: 1907.07006 · arxiv_version: 1907.07006v1 · doi: 10.48550/arxiv.1907.07006 · pith_short_12: 5NZJSOFBIHMJ · pith_short_16: 5NZJSOFBIHMJWRU7 · pith_short_8: 5NZJSOFB

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/5NZJSOFBIHMJWRU7APZUEVCNPB \
  | 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: eb729938a141d89b469f03f342544d786836033978be3e20c1615038d607a2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5199b9d90af4675579890f80896d9cc5eeeca859a1e2c4b795f49dfdbf63fef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-16T13:54:03Z",
    "title_canon_sha256": "72d21d0e0a1015fedd47d21f3f6c65e1527d7e82a767a2900b3ca3fa78f625d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07006",
    "kind": "arxiv",
    "version": 1
  }
}