Pith Number

pith:VPJGHDCR

pith:2025:VPJGHDCR4MNBP27M7QDG62SV5L

not attested not anchored not stored refs pending

A Solow-Swan framework for economic growth with memory effect

K.J. Duffy, M.O. Aibinu, S. Moyo

arxiv:2508.20100 v1 · 2025-08-11 · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPJGHDCR4MNBP27M7QDG62SV5L}

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	2026-07-05T12:01:26.661262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd2638c51e31a17ebecfc066f6a55eafca72a8b799b6be960b252a4705625ba

Aliases

arxiv: 2508.20100 · arxiv_version: 2508.20100v1 · doi: 10.48550/arxiv.2508.20100 · pith_short_12: VPJGHDCR4MNB · pith_short_16: VPJGHDCR4MNBP27M · pith_short_8: VPJGHDCR

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/VPJGHDCR4MNBP27M7QDG62SV5L \
  | 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: abd2638c51e31a17ebecfc066f6a55eafca72a8b799b6be960b252a4705625ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0251a4fbe40cf9819e62b9fff39efab6cd3fe7981f071e22da44e8668c534466",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2025-08-11T16:20:50Z",
    "title_canon_sha256": "e432204b49ee11eb83762a740f271bc6240f2dcb0723dd3daff1bb3dd354b4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20100",
    "kind": "arxiv",
    "version": 1
  }
}