Pith Number

pith:SPHHCBNN

pith:2018:SPHHCBNNOVXU65BTIJT6TV4G3I

not attested not anchored not stored refs pending

Toward a General Theory of Societal Collapse. A Biophysical Examination of Tainter s Model of the Diminishing Returns of Complexity

Ilaria Perissi, Sara Falsini, Ugo Bardi

arxiv:1810.07056 v1 · 2018-10-16 · 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{SPHHCBNNOVXU65BTIJT6TV4G3I}

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	2026-05-18T00:03:10.613602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ce7105ad756f4f74334267e9d786da009380aaeac778eeb132fe4e6ad3f7cf

Aliases

arxiv: 1810.07056 · arxiv_version: 1810.07056v1 · doi: 10.48550/arxiv.1810.07056 · pith_short_12: SPHHCBNNOVXU · pith_short_16: SPHHCBNNOVXU65BT · pith_short_8: SPHHCBNN

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/SPHHCBNNOVXU65BTIJT6TV4G3I \
  | 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: 93ce7105ad756f4f74334267e9d786da009380aaeac778eeb132fe4e6ad3f7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5475b548e95b18dbabd9fadaa1866a0337c57ada4027ec19b567afe2e2d5dc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2018-10-16T14:56:16Z",
    "title_canon_sha256": "df85cd19275f3b7a78880eee47e46086eb664ad70c7e30c11175d85672c8054b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07056",
    "kind": "arxiv",
    "version": 1
  }
}