Pith Number

pith:WKWGZQOR

pith:2002:WKWGZQOR5IIKYKCBI76F5WOFNU

not attested not anchored not stored refs pending

Physical Pictures of Transport in Heterogeneous Media: Advection-Dispersion, Random Walk and Fractional Derivative Formulations

Brian Berkowitz, Harvey Scher, Joseph Klafter, Ralf Metzler

arxiv:cond-mat/0202327 v2 · 2002-02-19 · 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{WKWGZQOR5IIKYKCBI76F5WOFNU}

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	2026-05-18T01:40:04.022453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ac6cc1d1ea10ac284147fc5ed9c56d2447df43dd936153951603a617c92b09

Aliases

arxiv: cond-mat/0202327 · arxiv_version: cond-mat/0202327v2 · doi: 10.48550/arxiv.cond-mat/0202327 · pith_short_12: WKWGZQOR5IIK · pith_short_16: WKWGZQOR5IIKYKCB · pith_short_8: WKWGZQOR

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/WKWGZQOR5IIKYKCBI76F5WOFNU \
  | 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: b2ac6cc1d1ea10ac284147fc5ed9c56d2447df43dd936153951603a617c92b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1588541447fc1aecb415eb19bb8adb0569f38bf5e21b84124bdd3faf773e7b80",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-02-19T21:45:06Z",
    "title_canon_sha256": "60d1353ed0f656664cc0eca89acc0a20d6c548d2439fe53cc36fe9c0e121200e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0202327",
    "kind": "arxiv",
    "version": 2
  }
}