Pith Number

pith:R6GN6FSU

pith:2026:R6GN6FSUB66RD4W7E2NHV7AP4N

not attested not anchored not stored refs pending

Orthonormal Sobolev estimates with fractal measures

Keith M. Rogers, Neal Bez, Shunya Toyoshima

arxiv:2607.15826 v1 · 2026-07-17 · math.CA · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6GN6FSUB66RD4W7E2NHV7AP4N}

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	2026-07-20T01:19:12.269157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8cdf16540fbd11f2df269a7afc0fe37654de2ddd12ee0ac9bc8b7b9e3ce012

Aliases

arxiv: 2607.15826 · arxiv_version: 2607.15826v1 · doi: 10.48550/arxiv.2607.15826 · pith_short_12: R6GN6FSUB66R · pith_short_16: R6GN6FSUB66RD4W7 · pith_short_8: R6GN6FSU

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/R6GN6FSUB66RD4W7E2NHV7AP4N \
  | 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: 8f8cdf16540fbd11f2df269a7afc0fe37654de2ddd12ee0ac9bc8b7b9e3ce012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7700f6167ca5130eda0b31c7b4567cb54bbb2731ae3186501712111641dab708",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-17T10:36:50Z",
    "title_canon_sha256": "08bdf591fa880a3772a61c8a3c0855d2707a849244d6c3dd43e4f8339931da5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15826",
    "kind": "arxiv",
    "version": 1
  }
}