Pith Number

pith:OE6AV4QP

pith:2016:OE6AV4QPWLQXL4JUTXVQARFNGF

not attested not anchored not stored refs pending

Sparse Beltrami coefficients, integral means of conformal mappings and the Feynman-Kac formula

Oleg Ivrii

arxiv:1608.05872 v2 · 2016-08-20 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OE6AV4QPWLQXL4JUTXVQARFNGF}

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	2026-05-18T00:53:30.503917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713c0af20fb2e175f1349deb0044ad31765eb30568e239dee5da059a23b7d118

Aliases

arxiv: 1608.05872 · arxiv_version: 1608.05872v2 · doi: 10.48550/arxiv.1608.05872 · pith_short_12: OE6AV4QPWLQX · pith_short_16: OE6AV4QPWLQXL4JU · pith_short_8: OE6AV4QP

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/OE6AV4QPWLQXL4JUTXVQARFNGF \
  | 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: 713c0af20fb2e175f1349deb0044ad31765eb30568e239dee5da059a23b7d118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec9cbedcc8bd38e725127c852c46f8ead9c5a07b9fcc529509e13d80184e3d5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-08-20T21:05:08Z",
    "title_canon_sha256": "317a8c758d3aa18850f7c6efcb8c5f08fd2fafd491d664b74a79a12bd67d9883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05872",
    "kind": "arxiv",
    "version": 2
  }
}