Pith Number

pith:ZUPP3WLJ

pith:2014:ZUPP3WLJN2J2OUEO5VDRXW46UY

not attested not anchored not stored refs pending

On singularities in combination-driven models of technological innovation

Daniel R. Amor, Ricard V. Sol\'e, Sergi Valverde

arxiv:1407.6890 v2 · 2014-07-25 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUPP3WLJN2J2OUEO5VDRXW46UY}

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	2026-05-18T02:46:14.371266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1efdd9696e93a7508eed471bdb9ea6078773f9dbbcd9904f73976133697a7e

Aliases

arxiv: 1407.6890 · arxiv_version: 1407.6890v2 · doi: 10.48550/arxiv.1407.6890 · pith_short_12: ZUPP3WLJN2J2 · pith_short_16: ZUPP3WLJN2J2OUEO · pith_short_8: ZUPP3WLJ

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/ZUPP3WLJN2J2OUEO5VDRXW46UY \
  | 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: cd1efdd9696e93a7508eed471bdb9ea6078773f9dbbcd9904f73976133697a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a651e2209fa6a0c5679dea511b63341548433f7a5766a35df463e8f835c359a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2014-07-25T13:34:26Z",
    "title_canon_sha256": "4baa9d9d0ff1d372573b3efab218b046c016cbee3177a3c5ed8fe49dea230598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6890",
    "kind": "arxiv",
    "version": 2
  }
}