Pith Number

pith:3P4EDVW5

pith:2024:3P4EDVW5M7PN4DCPSHGCJ7JCRC

not attested not anchored not stored refs pending

Uniform $L^\infty$ estimates: subsolutions to fully nonlinear partial differential equations

Bin Guo, Duong H. Phong

arxiv:2401.11572 v1 · 2024-01-21 · math.AP · 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{3P4EDVW5M7PN4DCPSHGCJ7JCRC}

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	2026-07-05T07:36:06.641662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf841d6dd67dede0c4f91cc24fd22888a374f3450f8e75dc59a38f22349015e

Aliases

arxiv: 2401.11572 · arxiv_version: 2401.11572v1 · doi: 10.48550/arxiv.2401.11572 · pith_short_12: 3P4EDVW5M7PN · pith_short_16: 3P4EDVW5M7PN4DCP · pith_short_8: 3P4EDVW5

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/3P4EDVW5M7PN4DCPSHGCJ7JCRC \
  | 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: dbf841d6dd67dede0c4f91cc24fd22888a374f3450f8e75dc59a38f22349015e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a31b8e034ffcc1801078f6d053ae280058c8d81b3fba13fe34aa6044d6e516",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-01-21T19:32:42Z",
    "title_canon_sha256": "6ffad0eee2a86b77b2abe59ba1967496a63ede632693b5b533919e086b47c313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.11572",
    "kind": "arxiv",
    "version": 1
  }
}