Pith Number

pith:52VJKTYD

pith:2017:52VJKTYDP5BJT2OMBSHMZNDMJZ

not attested not anchored not stored refs pending

A mean value formula and a Liouville theorem for the complex Monge-Amp\`ere equation

Chao Li, Jiayu Li, Xi Zhang

arxiv:1709.05754 v1 · 2017-09-18 · 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{52VJKTYDP5BJT2OMBSHMZNDMJZ}

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	2026-05-18T00:34:59.529876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeaa954f037f4299e9cc0c8eccb46c4e63402146cfc241128ab53235f4b8bf7d

Aliases

arxiv: 1709.05754 · arxiv_version: 1709.05754v1 · doi: 10.48550/arxiv.1709.05754 · pith_short_12: 52VJKTYDP5BJ · pith_short_16: 52VJKTYDP5BJT2OM · pith_short_8: 52VJKTYD

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/52VJKTYDP5BJT2OMBSHMZNDMJZ \
  | 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: eeaa954f037f4299e9cc0c8eccb46c4e63402146cfc241128ab53235f4b8bf7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3859caf449393cbfbe4c18261ca2d41fd745f6093f1f1cfe46a99d3a5404facc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-18T02:56:01Z",
    "title_canon_sha256": "913ddae6422b730642f7ba323d98c4a02961d15337ab051709bd6efd27629a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05754",
    "kind": "arxiv",
    "version": 1
  }
}