Pith Number

pith:6KYQIBCP

pith:2026:6KYQIBCP4QZCQ5RH6FDH6BYLA5

not attested not anchored not stored refs pending

Dynamic Universal Approximation via Signature Controlled Differential Equations

Christa Cuchiero, Fabian N. Harang, Paul P. Hager, Tom\'as Carrondo

arxiv:2607.13886 v1 · 2026-07-15 · math.CA · 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{6KYQIBCP4QZCQ5RH6FDH6BYLA5}

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	2026-07-16T01:23:11.713425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b104044fe432287627f1467f070b0760d75adbf477d976cdb699c2ef836b3a

Aliases

arxiv: 2607.13886 · arxiv_version: 2607.13886v1 · doi: 10.48550/arxiv.2607.13886 · pith_short_12: 6KYQIBCP4QZC · pith_short_16: 6KYQIBCP4QZCQ5RH · pith_short_8: 6KYQIBCP

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/6KYQIBCP4QZCQ5RH6FDH6BYLA5 \
  | 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: f2b104044fe432287627f1467f070b0760d75adbf477d976cdb699c2ef836b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7c81a2c1e916dd1ce3d9117ea6da1ea612e8f07b019f181022a222627ef1b8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-15T14:34:08Z",
    "title_canon_sha256": "72ee7b0f1770680559c9484dc45a2c83807c05e7f8a912e763057e85c01f16c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13886",
    "kind": "arxiv",
    "version": 1
  }
}