Pith Number

pith:R7BBCENH

pith:2026:R7BBCENHKHUJQK4E2FCC6IPO6S

not attested not anchored not stored refs pending

Compositional Approximation Can Strictly Outperform Superpositional Approximation

Dennis Elbr\"achter, Philipp Petersen

arxiv:2606.08727 v1 · 2026-06-07 · math.NA · cs.LG · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7BBCENHKHUJQK4E2FCC6IPO6S}

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	2026-06-09T02:07:35.691574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc21111a751e8982b84d1442f21eef4a544d0dcf2a3065a310b4fd3460df729

Aliases

arxiv: 2606.08727 · arxiv_version: 2606.08727v1 · doi: 10.48550/arxiv.2606.08727 · pith_short_12: R7BBCENHKHUJ · pith_short_16: R7BBCENHKHUJQK4E · pith_short_8: R7BBCENH

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/R7BBCENHKHUJQK4E2FCC6IPO6S \
  | 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: 8fc21111a751e8982b84d1442f21eef4a544d0dcf2a3065a310b4fd3460df729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a10a8b35653fa9aa1ebf4467f7fb560915bda21c15b9d42ffd5ecae224fdc0a",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-07T16:50:04Z",
    "title_canon_sha256": "9a624217462fe2a6958fb6ef7823be740321f2c4780619a66ba87f066edceca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08727",
    "kind": "arxiv",
    "version": 1
  }
}