Pith Number

pith:REX5JMUC

pith:2021:REX5JMUCNLKHVUZOSSONLPVSSJ

not attested not anchored not stored refs pending

On the modulus of continuity of solutions to complex Monge-Amp\`ere equations

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

arxiv:2112.02354 v1 · 2021-12-04 · math.DG · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REX5JMUCNLKHVUZOSSONLPVSSJ}

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	2026-07-05T03:37:51.542531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892fd4b2826ad47ad32e949cd5beb29254f442b34d70c8838321f300fb82b5cc

Aliases

arxiv: 2112.02354 · arxiv_version: 2112.02354v1 · doi: 10.48550/arxiv.2112.02354 · pith_short_12: REX5JMUCNLKH · pith_short_16: REX5JMUCNLKHVUZO · pith_short_8: REX5JMUC

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/REX5JMUCNLKHVUZOSSONLPVSSJ \
  | 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: 892fd4b2826ad47ad32e949cd5beb29254f442b34d70c8838321f300fb82b5cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e62783384cd20cafd3ef7edd4d0364357e655fc1b5adff7cfe3fab62b162f3f0",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-04T14:59:54Z",
    "title_canon_sha256": "232c2a63d73d36c0fb5d254e41a99d0bf0062053a2199114b61b3d093e0bdff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02354",
    "kind": "arxiv",
    "version": 1
  }
}