Pith Number

pith:RL5YB6JL

pith:2011:RL5YB6JLYCSABZBI3LAMVDEVZ2

not attested not anchored not stored refs pending

Weighted estimates for Beltrami equations

Albert Clop, V\'ictor Cruz

arxiv:1112.5573 v1 · 2011-12-23 · 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{RL5YB6JLYCSABZBI3LAMVDEVZ2}

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	2026-05-18T04:05:46.503986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8afb80f92bc0a400e428dac0ca8c95ceb3f02894fd81f9e98e005e01727bea8c

Aliases

arxiv: 1112.5573 · arxiv_version: 1112.5573v1 · doi: 10.48550/arxiv.1112.5573 · pith_short_12: RL5YB6JLYCSA · pith_short_16: RL5YB6JLYCSABZBI · pith_short_8: RL5YB6JL

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/RL5YB6JLYCSABZBI3LAMVDEVZ2 \
  | 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: 8afb80f92bc0a400e428dac0ca8c95ceb3f02894fd81f9e98e005e01727bea8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541acca7b087175d93d76516966f50e512d6afae2bfd3691306347076e137a43",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-12-23T12:32:47Z",
    "title_canon_sha256": "4bf45f4cf9328e8d6334fed32785a32f7f2f56d0aac3483885e4cce426869def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5573",
    "kind": "arxiv",
    "version": 1
  }
}