Pith Number

pith:O52KD6O5

pith:2012:O52KD6O5BVV76UXWHCTZRHEOBA

not attested not anchored not stored refs pending

Critical network effect induces business oscillations in multi-level marketing systems

Dranreb Earl Juanico

arxiv:1209.5576 v1 · 2012-09-25 · nlin.AO · 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{O52KD6O5BVV76UXWHCTZRHEOBA}

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	2026-05-18T03:44:48.109003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7774a1f9dd0d6bff52f638a7989c8e080ba78c7b826c0148b5d7e528b16840a6

Aliases

arxiv: 1209.5576 · arxiv_version: 1209.5576v1 · doi: 10.48550/arxiv.1209.5576 · pith_short_12: O52KD6O5BVV7 · pith_short_16: O52KD6O5BVV76UXW · pith_short_8: O52KD6O5

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/O52KD6O5BVV76UXWHCTZRHEOBA \
  | 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: 7774a1f9dd0d6bff52f638a7989c8e080ba78c7b826c0148b5d7e528b16840a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e84cd6f18be1449bb93959d8e62a991a5751f0c3ba49b9d7570ef7f5f4c4e3",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2012-09-25T11:05:22Z",
    "title_canon_sha256": "d490abf8a1e17737e9cbe05d1180e0340482d4024ebc7249b185ae4691243bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5576",
    "kind": "arxiv",
    "version": 1
  }
}