Pith Number

pith:7RKQ7QQH

pith:2021:7RKQ7QQHLJCXCF3SPET353RUTL

not attested not anchored not stored refs pending

On $L^\infty$ estimates for Monge-Amp\`ere and Hessian equations on nef classes

Bin Guo, Chuwen Wang, Duong H. Phong, Freid Tong

arxiv:2111.14186 v1 · 2021-11-28 · math.DG · 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{7RKQ7QQHLJCXCF3SPET353RUTL}

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	2026-07-05T07:55:11.978156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc550fc2075a457117727927beee349ae43fbda9e0e0ed1d505440522fec9644

Aliases

arxiv: 2111.14186 · arxiv_version: 2111.14186v1 · doi: 10.48550/arxiv.2111.14186 · pith_short_12: 7RKQ7QQHLJCX · pith_short_16: 7RKQ7QQHLJCXCF3S · pith_short_8: 7RKQ7QQH

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/7RKQ7QQHLJCXCF3SPET353RUTL \
  | 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: fc550fc2075a457117727927beee349ae43fbda9e0e0ed1d505440522fec9644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30da67b2ece17b02cf6f64b8fde34f634de4013f0875e22cfa72c9f56d731f15",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-11-28T15:58:21Z",
    "title_canon_sha256": "437a5b47299e6fb3340d3641c0eec7df919fa88073e5cb73c0579c9696ff3174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14186",
    "kind": "arxiv",
    "version": 1
  }
}