Pith Number

pith:42PPKH7S

pith:2019:42PPKH7SSW4OFLIP62O6TWOTUS

not attested not anchored not stored refs pending

Population collapse in Elite-dominated societies: A differential equations model without differential equations

James A. Yorke, Naghmeh Akhavan

arxiv:1908.02870 v1 · 2019-08-07 · math.DS · physics.soc-ph · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42PPKH7SSW4OFLIP62O6TWOTUS}

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	2026-07-04T23:52:24.261653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69ef51ff295b8e2ad0ff69de9d9d3a4b26bc863050bc61684cbe4cbf26e8e98

Aliases

arxiv: 1908.02870 · arxiv_version: 1908.02870v1 · doi: 10.48550/arxiv.1908.02870 · pith_short_12: 42PPKH7SSW4O · pith_short_16: 42PPKH7SSW4OFLIP · pith_short_8: 42PPKH7S

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/42PPKH7SSW4OFLIP62O6TWOTUS \
  | 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: e69ef51ff295b8e2ad0ff69de9d9d3a4b26bc863050bc61684cbe4cbf26e8e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e8c18eebb87017df30fca5e3394f4e0586eb9e695953f95810929361b2d17c",
    "cross_cats_sorted": [
      "physics.soc-ph",
      "q-bio.PE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-07T23:15:16Z",
    "title_canon_sha256": "1d85e1692b78dbb1fbf6966f956f13aeb553360ed635ec7510724ca789e397d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02870",
    "kind": "arxiv",
    "version": 1
  }
}