Pith Number

pith:L4BYRRAH

pith:2018:L4BYRRAHQTMAMVSZVORRQDCKWP

not attested not anchored not stored refs pending

Schwarz lemmas for mappings with bounded Laplacian

Adel Khalfallah, Miodrag Mateljevi\'c

arxiv:1810.08823 v1 · 2018-10-20 · math.CV · 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{L4BYRRAHQTMAMVSZVORRQDCKWP}

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	2026-05-18T00:02:41.771893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0388c40784d8065659aba3180c4ab3c12b7c6f82f21f75a786d25b060c990a

Aliases

arxiv: 1810.08823 · arxiv_version: 1810.08823v1 · doi: 10.48550/arxiv.1810.08823 · pith_short_12: L4BYRRAHQTMA · pith_short_16: L4BYRRAHQTMAMVSZ · pith_short_8: L4BYRRAH

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/L4BYRRAHQTMAMVSZVORRQDCKWP \
  | 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: 5f0388c40784d8065659aba3180c4ab3c12b7c6f82f21f75a786d25b060c990a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d907f80e65cb9239e256350716d749ababee66366aa247cec8dbcac7fdd632",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-20T16:07:17Z",
    "title_canon_sha256": "90c6fc2a51abc02d3c80667ae2168acdbe6b852370d6157c50a33c9a3a8be03d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08823",
    "kind": "arxiv",
    "version": 1
  }
}