Pith Number

pith:GUT7ZFGK

pith:2008:GUT7ZFGKLTMSQJXU6DZZJCAYRV

not attested not anchored not stored refs pending

Stochastic Porous Media Equation and Self-Organized Criticality

Bielefeld, Departments of Mathematics, Germany, Giuseppe Da Prato (Scuola Normale Superiore di Pisa, Iasi, Italy), Michael R\"ockner (Faculty of Mathematics, Purdue University, Romania), Statistics, USA), Viorel Barbu (Institute of Mathematics "Octav Mayer"

arxiv:0801.2478 v1 · 2008-01-16 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUT7ZFGKLTMSQJXU6DZZJCAYRV}

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	2026-05-18T00:13:14.374379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3527fc94ca5cd92826f4f0f39488188d50d719a7192fe997799904c7bc1a2d5a

Aliases

arxiv: 0801.2478 · arxiv_version: 0801.2478v1 · doi: 10.48550/arxiv.0801.2478 · pith_short_12: GUT7ZFGKLTMS · pith_short_16: GUT7ZFGKLTMSQJXU · pith_short_8: GUT7ZFGK

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/GUT7ZFGKLTMSQJXU6DZZJCAYRV \
  | 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: 3527fc94ca5cd92826f4f0f39488188d50d719a7192fe997799904c7bc1a2d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123706c3446d1eb34bee90a892ffc777c507ab539003646e93eba1925567aa98",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2008-01-16T12:02:24Z",
    "title_canon_sha256": "89fc26a88a6a3cac9e94f3b6b3087c468ec43ef6de16a3a3fa0779f41ece8851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2478",
    "kind": "arxiv",
    "version": 1
  }
}