Pith Number

pith:4U4BLRKO

pith:2011:4U4BLRKO7GYRLWIEAL3D4JYW2Z

not attested not anchored not stored refs pending

Harnack's inequality for solutions to the linearized Monge-Ampere equation under minimal geometric assumptions

Diego Maldonado

arxiv:1110.5263 v2 · 2011-10-24 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4U4BLRKO7GYRLWIEAL3D4JYW2Z}

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	2026-05-18T04:00:01.071366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53815c54ef9b115d90402f63e2716d66d71899139ca469157baa5806e6f777f

Aliases

arxiv: 1110.5263 · arxiv_version: 1110.5263v2 · doi: 10.48550/arxiv.1110.5263 · pith_short_12: 4U4BLRKO7GYR · pith_short_16: 4U4BLRKO7GYRLWIE · pith_short_8: 4U4BLRKO

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/4U4BLRKO7GYRLWIEAL3D4JYW2Z \
  | 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: e53815c54ef9b115d90402f63e2716d66d71899139ca469157baa5806e6f777f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f8f7561e2042645b3064ffe6926efd0c5f460eb86a1d0e2260563c58ae7cbc",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-24T15:43:01Z",
    "title_canon_sha256": "853f788760d32b2fb8bdcea0d60768d98c8b39445cbd41ff759125b70ceabff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5263",
    "kind": "arxiv",
    "version": 2
  }
}