Pith Number

pith:Z45QDYJZ

pith:2018:Z45QDYJZCBNGND5XVSARQZTT5I

not attested not anchored not stored refs pending

Uniform bounds for solutions to elliptic problems on simply connected planar domains

Luca Battaglia

arxiv:1809.05684 v2 · 2018-09-15 · 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{Z45QDYJZCBNGND5XVSARQZTT5I}

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	2026-05-17T23:58:47.563869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3b01e139105a668fb7ac81186673ea08384e096b666819a316299733822651

Aliases

arxiv: 1809.05684 · arxiv_version: 1809.05684v2 · doi: 10.48550/arxiv.1809.05684 · pith_short_12: Z45QDYJZCBNG · pith_short_16: Z45QDYJZCBNGND5X · pith_short_8: Z45QDYJZ

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/Z45QDYJZCBNGND5XVSARQZTT5I \
  | 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: cf3b01e139105a668fb7ac81186673ea08384e096b666819a316299733822651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38e163356a710e552b6f2d550c68396237413f46bbba6b5a4cd2074bf1d67a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-15T09:41:51Z",
    "title_canon_sha256": "30c167208dbd76b13037557f2892f6c4a9920048b47e170c128dd3dfd148b530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05684",
    "kind": "arxiv",
    "version": 2
  }
}