Pith Number

pith:IPPPV7R6

pith:2016:IPPPV7R6AHMKV7KIHH25DNWJKG

not attested not anchored not stored refs pending

Do Mature Economies Grow Exponentially?

Peter P\"utz, Steffen Lange, Thomas Kopp

arxiv:1601.04028 v1 · 2016-01-15 · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPPPV7R6AHMKV7KIHH25DNWJKG}

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	2026-05-18T00:22:06.873983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43defafe3e01d8aafd4839f5d1b6c9519141482ec64b3372b366a7fe9e8c594f

Aliases

arxiv: 1601.04028 · arxiv_version: 1601.04028v1 · doi: 10.48550/arxiv.1601.04028 · pith_short_12: IPPPV7R6AHMK · pith_short_16: IPPPV7R6AHMKV7KI · pith_short_8: IPPPV7R6

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/IPPPV7R6AHMKV7KIHH25DNWJKG \
  | 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: 43defafe3e01d8aafd4839f5d1b6c9519141482ec64b3372b366a7fe9e8c594f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a4c4268b1e078446b112877ecc82b7811ea542c6475c50e51345278d9632a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2016-01-15T18:31:35Z",
    "title_canon_sha256": "4d936be2d09b9d4b6e0c27e52ca0d10f8989653d5c92832c27d9ac9b3671157a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04028",
    "kind": "arxiv",
    "version": 1
  }
}