Pith Number

pith:337ZXUFP

pith:2015:337ZXUFP73SDB2EBSVBEZFB22O

not attested not anchored not stored refs pending

Secular bipolar growth rate of the real US GDP per capita: implications for understanding past and future economic growth

Didier Sornette, Sandro Lera

arxiv:1607.04136 v1 · 2015-12-15 · 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{337ZXUFP73SDB2EBSVBEZFB22O}

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	2026-05-18T01:11:04.037938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deff9bd0affee430e88195424c943ad3862a7d47a355d3a1c3560242ec3b15f1

Aliases

arxiv: 1607.04136 · arxiv_version: 1607.04136v1 · doi: 10.48550/arxiv.1607.04136 · pith_short_12: 337ZXUFP73SD · pith_short_16: 337ZXUFP73SDB2EB · pith_short_8: 337ZXUFP

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/337ZXUFP73SDB2EBSVBEZFB22O \
  | 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: deff9bd0affee430e88195424c943ad3862a7d47a355d3a1c3560242ec3b15f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7605935a2c0f18c60bcff27563ee28e4eab6945b2f426333f15bf2f428a8b3f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2015-12-15T02:33:17Z",
    "title_canon_sha256": "88434c69a97233741566b756c61ed7d9b9d3034c3764ac1e1092d4fff0cb2f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04136",
    "kind": "arxiv",
    "version": 1
  }
}