Pith Number

pith:UAL4AKBO

pith:2026:UAL4AKBOY3OXB3USC7OSJDJTG6

not attested not anchored not stored refs pending

Caputo-Type Memory Invariants: A Fractional Generalization of the Cobb-Douglas Production Function

Roman G. Smirnov

arxiv:2605.20152 v1 · 2026-05-19 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAL4AKBOY3OXB3USC7OSJDJTG6}

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	2026-05-20T02:06:04.444751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a017c0282ec6dd70ee9217dd248d333785e2411816ec774056d16e9daf81ff5d

Aliases

arxiv: 2605.20152 · arxiv_version: 2605.20152v1 · doi: 10.48550/arxiv.2605.20152 · pith_short_12: UAL4AKBOY3OX · pith_short_16: UAL4AKBOY3OXB3US · pith_short_8: UAL4AKBO

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/UAL4AKBOY3OXB3USC7OSJDJTG6 \
  | 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: a017c0282ec6dd70ee9217dd248d333785e2411816ec774056d16e9daf81ff5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16c4d6e1983e4b70c0ad77d37a62f3b6e0cc5dd492aa7fa55ddb5e6fb1e3a49e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-05-19T17:41:43Z",
    "title_canon_sha256": "f6445cb06897f01c628c831ae8ee36ec55bca7ff256bbd97c1c0b06ae2b8538e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20152",
    "kind": "arxiv",
    "version": 1
  }
}