Pith Number

pith:WUCVAC2D

pith:2026:WUCVAC2DKYZRK32OZDFR2TTGVJ

not attested not anchored not stored refs pending

Median porosity is quasiconformally invariant

Antti V. V\"ah\"akangas, Tero Kilpel\"ainen

arxiv:2606.05034 v1 · 2026-06-03 · math.CA · math.CV · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUCVAC2DKYZRK32OZDFR2TTGVJ}

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.

Cited by

1 paper in Pith

One-sided median porous sets and one-sided Muckenhoupt distance functions

Receipt and verification

First computed	2026-06-04T01:10:03.213134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b505500b435633156f4ec8cb1d4e66aa49cd6edcf43e56b0238ab243716d7d54

Aliases

arxiv: 2606.05034 · arxiv_version: 2606.05034v1 · doi: 10.48550/arxiv.2606.05034 · pith_short_12: WUCVAC2DKYZR · pith_short_16: WUCVAC2DKYZRK32O · pith_short_8: WUCVAC2D

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/WUCVAC2DKYZRK32OZDFR2TTGVJ \
  | 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: b505500b435633156f4ec8cb1d4e66aa49cd6edcf43e56b0238ab243716d7d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8d77992aecfd569cb24a865ccd1e96924453420a5e37b5d2cfe4093ea41285",
    "cross_cats_sorted": [
      "math.CV",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-03T16:00:13Z",
    "title_canon_sha256": "fc0a3cfe1ca689430f83ec79e7a4535655ca95e50bc9559f54530724e15012db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05034",
    "kind": "arxiv",
    "version": 1
  }
}