Pith Number

pith:ZKDXOX7S

pith:2016:ZKDXOX7SRUBFQLXM5YBDZOS54W

not attested not anchored not stored refs pending

Widening Disparity and its Suppression in a Stochastic Replicator Model

Hidetsugu Sakaguchi

arxiv:1602.02153 v1 · 2016-02-05 · 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{ZKDXOX7SRUBFQLXM5YBDZOS54W}

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	2026-05-18T01:18:37.571154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca87775ff28d02582eecee023cba5de5a62f9489628c59fc46404324a8f3948e

Aliases

arxiv: 1602.02153 · arxiv_version: 1602.02153v1 · doi: 10.48550/arxiv.1602.02153 · pith_short_12: ZKDXOX7SRUBF · pith_short_16: ZKDXOX7SRUBFQLXM · pith_short_8: ZKDXOX7S

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/ZKDXOX7SRUBFQLXM5YBDZOS54W \
  | 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: ca87775ff28d02582eecee023cba5de5a62f9489628c59fc46404324a8f3948e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b136788544562b822a18dba6d31735c93631905179b9c135a114c997668b8463",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-02-05T08:54:29Z",
    "title_canon_sha256": "955557e270f78abee97bc8318caf92a8550b0904cddaa9d99263bc6d51b9a57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02153",
    "kind": "arxiv",
    "version": 1
  }
}