Pith Number

pith:TJ2JBW43

pith:2021:TJ2JBW43PIFVBZKZSR3AOARVW4

not attested not anchored not stored refs pending

A new gradient estimate for the complex Monge-Amp\`ere equation

Bin Guo, Duong H. Phong, Freid Tong

arxiv:2106.03308 v1 · 2021-06-07 · 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{TJ2JBW43PIFVBZKZSR3AOARVW4}

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	2026-07-05T02:46:48.401184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7490db9b7a0b50e5599476070235b7356a3f67a57dfa6598a7da57ef754761

Aliases

arxiv: 2106.03308 · arxiv_version: 2106.03308v1 · doi: 10.48550/arxiv.2106.03308 · pith_short_12: TJ2JBW43PIFV · pith_short_16: TJ2JBW43PIFVBZKZ · pith_short_8: TJ2JBW43

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/TJ2JBW43PIFVBZKZSR3AOARVW4 \
  | 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: 9a7490db9b7a0b50e5599476070235b7356a3f67a57dfa6598a7da57ef754761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c2223120faef932f7d4f8d6371807b00f593a58219d7da6e50c1aa31dbb682",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-07T02:43:00Z",
    "title_canon_sha256": "8fcc65a4eea060b0d9f81a78e5497af3f3b141a984d01d4a7a639e73077adc89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03308",
    "kind": "arxiv",
    "version": 1
  }
}