Pith Number

pith:PN7WJBNU

pith:2012:PN7WJBNUAS7W33OB2VAAXHSC6X

not attested not anchored not stored refs pending

Scale-invariance underlying the logistic equation and its social applications

A. Hernando, A. Plastino

arxiv:1204.2422 v1 · 2012-04-11 · stat.AP · cs.SI · 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{PN7WJBNUAS7W33OB2VAAXHSC6X}

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	2026-05-18T01:57:53.594306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7f6485b404bf6dedc1d5400b9e42f5c620ca9b910aa06fc6496e8013518f07

Aliases

arxiv: 1204.2422 · arxiv_version: 1204.2422v1 · doi: 10.48550/arxiv.1204.2422 · pith_short_12: PN7WJBNUAS7W · pith_short_16: PN7WJBNUAS7W33OB · pith_short_8: PN7WJBNU

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/PN7WJBNUAS7W33OB2VAAXHSC6X \
  | 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: 7b7f6485b404bf6dedc1d5400b9e42f5c620ca9b910aa06fc6496e8013518f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0ca9bf4ee698da6f83518c2e13606140360d06435c63d574332a2e18d74b18",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2012-04-11T11:52:26Z",
    "title_canon_sha256": "77520c69a6eebca23074588f908345daf8902d81f46da92ab16da5f4b3a13840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2422",
    "kind": "arxiv",
    "version": 1
  }
}