Pith Number

pith:QFK4OHNJ

pith:1996:QFK4OHNJNTNYE2ZWH2FXQ32PPN

not attested not anchored not stored refs pending

Critical dimensions for random walks on random-walk chains

Armin Bunde, H. Eduardo Roman, Savely Rabinovich, Shlomo Havlin

arxiv:cond-mat/9604167 v1 · 1996-04-29 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFK4OHNJNTNYE2ZWH2FXQ32PPN}

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	2026-07-04T23:57:23.656203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8155c71da96cdb826b363e8b786f4f7b6f3c35104bac7bd57a9cc532718bbcdd

Aliases

arxiv: cond-mat/9604167 · arxiv_version: cond-mat/9604167v1 · doi: 10.48550/arxiv.cond-mat/9604167 · pith_short_12: QFK4OHNJNTNY · pith_short_16: QFK4OHNJNTNYE2ZW · pith_short_8: QFK4OHNJ

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/QFK4OHNJNTNYE2ZWH2FXQ32PPN \
  | 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: 8155c71da96cdb826b363e8b786f4f7b6f3c35104bac7bd57a9cc532718bbcdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81357e4d8110e1421f4064e6e0bcfa7f9390d772e4dcb42303c8b306c30ae8af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1996-04-29T09:54:53Z",
    "title_canon_sha256": "09a6a26c235b059e3571fe72449589834df71cb1b1ff01d7d75ece39719a4f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9604167",
    "kind": "arxiv",
    "version": 1
  }
}