Pith Number

pith:4EYYE5OJ

pith:2018:4EYYE5OJ3DS3T3EIV5XLEZ75MP

not attested not anchored not stored refs pending

Boundary H\"older gradient estimates for the Monge-Amp\`ere equation

Ovidiu Savin, Qian Zhang

arxiv:1810.10688 v1 · 2018-10-25 · 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{4EYYE5OJ3DS3T3EIV5XLEZ75MP}

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	2026-05-18T00:02:19.871482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1318275c9d8e5b9ec88af6eb267fd63c1948174ce5a8b09a6504a515ee131d2

Aliases

arxiv: 1810.10688 · arxiv_version: 1810.10688v1 · doi: 10.48550/arxiv.1810.10688 · pith_short_12: 4EYYE5OJ3DS3 · pith_short_16: 4EYYE5OJ3DS3T3EI · pith_short_8: 4EYYE5OJ

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/4EYYE5OJ3DS3T3EIV5XLEZ75MP \
  | 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: e1318275c9d8e5b9ec88af6eb267fd63c1948174ce5a8b09a6504a515ee131d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d52a04f97c38b41592554b5180f6f3bbe7cd44d6fb6a19e412800a72ba822a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-25T02:09:39Z",
    "title_canon_sha256": "319f589a6c2e65d03d2171bdd07c1a7aa0707b2d1db6780093f8ec7454b81253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10688",
    "kind": "arxiv",
    "version": 1
  }
}