Pith Number

pith:SLKJ3GFV

pith:2013:SLKJ3GFVAPTHTKLCVYEIRS7Y4Q

not attested not anchored not stored refs pending

Extended Parrondo's Game and Brownian Ratchets: Strong and Weak Parrondo Effect

Degang Wu, Kwok Yip Szeto

arxiv:1311.7300 v2 · 2013-11-28 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLKJ3GFVAPTHTKLCVYEIRS7Y4Q}

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	2026-05-18T02:51:08.254681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d49d98b503e679a962ae0888cbf8e428aac3407b1b626c13b7f9acd0877883

Aliases

arxiv: 1311.7300 · arxiv_version: 1311.7300v2 · doi: 10.48550/arxiv.1311.7300 · pith_short_12: SLKJ3GFVAPTH · pith_short_16: SLKJ3GFVAPTHTKLC · pith_short_8: SLKJ3GFV

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/SLKJ3GFVAPTHTKLCVYEIRS7Y4Q \
  | 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: 92d49d98b503e679a962ae0888cbf8e428aac3407b1b626c13b7f9acd0877883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf07eeaa472d11c75d05c6e13b58234bcdba30acf08b14bc749055eb78f6f380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-11-28T12:31:35Z",
    "title_canon_sha256": "abcaf342128c00af6e883a7547b4c4cb8337d4567d88b0902245a21f6f25f31b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7300",
    "kind": "arxiv",
    "version": 2
  }
}