Pith Number

pith:PJRPYIE6

pith:1999:PJRPYIE6VV4RWALNV5S5EZOC36

not attested not anchored not stored refs pending

Critical exponents of random XX and XY chains: Exact results via random walks

F. Igloi, H. Rieger, R. Juhasz

arxiv:cond-mat/9906378 v1 · 1999-06-25 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJRPYIE6VV4RWALNV5S5EZOC36}

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	2026-05-18T01:39:28.619367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a62fc209ead791b016daf65d265c2dfa5e049ab8e733266eefd95de10c97290

Aliases

arxiv: cond-mat/9906378 · arxiv_version: cond-mat/9906378v1 · doi: 10.48550/arxiv.cond-mat/9906378 · pith_short_12: PJRPYIE6VV4R · pith_short_16: PJRPYIE6VV4RWALN · pith_short_8: PJRPYIE6

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/PJRPYIE6VV4RWALNV5S5EZOC36 \
  | 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: 7a62fc209ead791b016daf65d265c2dfa5e049ab8e733266eefd95de10c97290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4515a1d322657c4e341b17ce546ae0b23f55bbf6ca86a77f7b0ee8c60fec02c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1999-06-25T09:20:17Z",
    "title_canon_sha256": "2fd76f2f64a8930e4206b53b31a10d260b565a7f3b22bef94aa94211a9c8b98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9906378",
    "kind": "arxiv",
    "version": 1
  }
}