Pith Number

pith:UGIXRLMD

pith:2020:UGIXRLMDZ7HGC3LM4FEFBUK43K

not attested not anchored not stored refs pending

Analyticity of the solutions to degenerate Monge-Amp\`ere equations

Genggeng Huang, Yingshu L\"u

arxiv:2012.02656 v1 · 2020-12-04 · 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{UGIXRLMDZ7HGC3LM4FEFBUK43K}

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	2026-07-05T01:57:08.956711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19178ad83cfce616d6ce14850d15cdab24f510838bc33c4b15b94ae28c21241

Aliases

arxiv: 2012.02656 · arxiv_version: 2012.02656v1 · doi: 10.48550/arxiv.2012.02656 · pith_short_12: UGIXRLMDZ7HG · pith_short_16: UGIXRLMDZ7HGC3LM · pith_short_8: UGIXRLMD

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/UGIXRLMDZ7HGC3LM4FEFBUK43K \
  | 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: a19178ad83cfce616d6ce14850d15cdab24f510838bc33c4b15b94ae28c21241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f13bd08c51af9e201ecb7d5c8a88bbc0f6041b4bae42d9a073d4994272fa244",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-04T15:31:45Z",
    "title_canon_sha256": "c0fe9eef8430c68d00cf6bc0b9eadb03a680365f2a5371d3db0d906bfd2e548b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.02656",
    "kind": "arxiv",
    "version": 1
  }
}