Pith Number

pith:NW7HRNOI

pith:2026:NW7HRNOIUKFAT5KHQQ2OVE46RB

not attested not anchored not stored refs pending

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

Alptekin Can Goksan, Ignacio Uriarte-Tuero

arxiv:2607.01167 v1 · 2026-07-01 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NW7HRNOIUKFAT5KHQQ2OVE46RB}

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	2026-07-02T01:18:31.005685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dbe78b5c8a28a09f5478434ea939e8874f74f4979e22b55cb911abc79df8e07

Aliases

arxiv: 2607.01167 · arxiv_version: 2607.01167v1 · doi: 10.48550/arxiv.2607.01167 · pith_short_12: NW7HRNOIUKFA · pith_short_16: NW7HRNOIUKFAT5KH · pith_short_8: NW7HRNOI

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/NW7HRNOIUKFAT5KHQQ2OVE46RB \
  | 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: 6dbe78b5c8a28a09f5478434ea939e8874f74f4979e22b55cb911abc79df8e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a1ea6f4311d12ac6cd4ab70fc0570e20438d60e94bd58b2c379720f63efa89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-01T16:54:30Z",
    "title_canon_sha256": "c99ff6e02c5dfd4fc0ad6770a75b3e89dc215ad23c3ca076c4f4b10dce0adbcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01167",
    "kind": "arxiv",
    "version": 1
  }
}