Pith Number

pith:T7TZ2TYT

pith:2021:T7TZ2TYTMXC2X5Z4P4YYBV2HML

not attested not anchored not stored refs pending

On $L^\infty$ estimates for complex Monge-Amp\`ere equations

Bin Guo, Duong H. Phong, Freid Tong

arxiv:2106.02224 v1 · 2021-06-04 · 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{T7TZ2TYTMXC2X5Z4P4YYBV2HML}

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	2026-07-05T02:46:16.921054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe79d4f1365c5abf73c7f3180d74762fc5a89047f8ff67b6d54a1dbc43e3976

Aliases

arxiv: 2106.02224 · arxiv_version: 2106.02224v1 · doi: 10.48550/arxiv.2106.02224 · pith_short_12: T7TZ2TYTMXC2 · pith_short_16: T7TZ2TYTMXC2X5Z4 · pith_short_8: T7TZ2TYT

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/T7TZ2TYTMXC2X5Z4P4YYBV2HML \
  | 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: 9fe79d4f1365c5abf73c7f3180d74762fc5a89047f8ff67b6d54a1dbc43e3976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f91c6dab9f9fbbc64aaec6f972526792885389b95af56a06a1497cd8b19fe3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-04T02:59:42Z",
    "title_canon_sha256": "554842a0c044e2bb56e675293e504b72e2300177fd723ced8f1fa90b24a45b5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02224",
    "kind": "arxiv",
    "version": 1
  }
}