Pith Number

pith:5ZPRRPOM

pith:2013:5ZPRRPOM2NP443UP45XHA5P2WQ

not attested not anchored not stored refs pending

An age structured demographic theory of technological change

J.-F. Mercure

arxiv:1304.3602 v4 · 2013-04-12 · physics.soc-ph · cs.SI · math.DS · 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{5ZPRRPOM2NP443UP45XHA5P2WQ}

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	2026-05-18T01:29:32.171069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee5f18bdccd35fce6e8fe76e7075fab42635c2c5a4d05c4520149f314b304df1

Aliases

arxiv: 1304.3602 · arxiv_version: 1304.3602v4 · doi: 10.48550/arxiv.1304.3602 · pith_short_12: 5ZPRRPOM2NP4 · pith_short_16: 5ZPRRPOM2NP443UP · pith_short_8: 5ZPRRPOM

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/5ZPRRPOM2NP443UP45XHA5P2WQ \
  | 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: ee5f18bdccd35fce6e8fe76e7075fab42635c2c5a4d05c4520149f314b304df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5eb7da32a801b26874f8505d498243f71faf72e3bbf7c32405ac12cef55c4dd",
    "cross_cats_sorted": [
      "cs.SI",
      "math.DS",
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-04-12T10:44:40Z",
    "title_canon_sha256": "fb2c5e668cf43dc844aae5c5d18c10af9bcb02d19905eb12ef5740f146f6ce9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3602",
    "kind": "arxiv",
    "version": 4
  }
}