Pith Number

pith:CEU77XPE

pith:2011:CEU77XPEV222SWBVE32GFLNFZF

not attested not anchored not stored refs pending

Global $W^{2,p}$ estimates for the Monge-Ampere equation

Ovidiu Savin

arxiv:1103.0456 v1 · 2011-03-02 · 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{CEU77XPEV222SWBVE32GFLNFZF}

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	2026-05-18T04:27:34.845909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1129ffdde4aeb5a9583526f462ada5c9575ca4c689025fbc7cbf2a7ca86088a6

Aliases

arxiv: 1103.0456 · arxiv_version: 1103.0456v1 · doi: 10.48550/arxiv.1103.0456 · pith_short_12: CEU77XPEV222 · pith_short_16: CEU77XPEV222SWBV · pith_short_8: CEU77XPE

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/CEU77XPEV222SWBVE32GFLNFZF \
  | 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: 1129ffdde4aeb5a9583526f462ada5c9575ca4c689025fbc7cbf2a7ca86088a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e28c5196b57f452b5356288a3905b89a78e1f04e5aa5bdd4b6546aa6693ef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-02T15:19:58Z",
    "title_canon_sha256": "096e49698b555093c378d0a4a83cf849f5ce69ee920c009886c4b06859b65309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0456",
    "kind": "arxiv",
    "version": 1
  }
}