Pith Number

pith:KHSWDFUI

pith:2025:KHSWDFUIQUEBUTOYD27JPRAVRU

not attested not anchored not stored refs pending

On uniqueness of solutions to complex Monge-Amp\`ere mean field equations

Chinh H. Lu, Trong-Thuc Phung

arxiv:2501.18281 v1 · 2025-01-30 · math.CV · 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{KHSWDFUIQUEBUTOYD27JPRAVRU}

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	2026-07-05T10:07:32.114183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e561968885081a4dd81ebe97c4158d27c129bbe1727a5cbdc5b80424421263

Aliases

arxiv: 2501.18281 · arxiv_version: 2501.18281v1 · doi: 10.48550/arxiv.2501.18281 · pith_short_12: KHSWDFUIQUEB · pith_short_16: KHSWDFUIQUEBUTOY · pith_short_8: KHSWDFUI

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/KHSWDFUIQUEBUTOYD27JPRAVRU \
  | 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: 51e561968885081a4dd81ebe97c4158d27c129bbe1727a5cbdc5b80424421263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215fb9bc669a8c135e99a25052e576a9348652b6ba3c953530cdc6557996d663",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-01-30T11:39:56Z",
    "title_canon_sha256": "9cc90229554dc10615dc4b35704ccb9bd89370c7ddffe9abce26af2967a2a4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18281",
    "kind": "arxiv",
    "version": 1
  }
}