Pith Number

pith:MB67UJLL

pith:2018:MB67UJLLJNEVNTNB73X5WNK2OJ

not attested not anchored not stored refs pending

Fractal Convolution: A New Operation between Functions

M. A. Navascu\'es, P. Massopust

arxiv:1805.11316 v2 · 2018-05-29 · 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{MB67UJLLJNEVNTNB73X5WNK2OJ}

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	2026-05-17T23:40:41.754627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607dfa256b4b4956cda1feefdb355a727f1b72436672fb790cb596853da36f91

Aliases

arxiv: 1805.11316 · arxiv_version: 1805.11316v2 · doi: 10.48550/arxiv.1805.11316 · pith_short_12: MB67UJLLJNEV · pith_short_16: MB67UJLLJNEVNTNB · pith_short_8: MB67UJLL

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/MB67UJLLJNEVNTNB73X5WNK2OJ \
  | 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: 607dfa256b4b4956cda1feefdb355a727f1b72436672fb790cb596853da36f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5fee15a691c01f93873706dc7cdfd4be9117c61eeddd3b5e7f1407e82cce822",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-29T09:12:42Z",
    "title_canon_sha256": "c0c3d6ff3b5896435a168655678bbb7d8417d9b0c2b3428c5397df986fe285a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11316",
    "kind": "arxiv",
    "version": 2
  }
}