Pith Number

pith:6A6PMIWY

pith:2008:6A6PMIWYPCISYOLSKGKQFDGCGJ

not attested not anchored not stored refs pending

Lattice gas model in random medium and open boundaries: hydrodynamic and relaxation to the steady state

Enza Orlandi, Mustapha Mourragui

arxiv:0811.2121 v2 · 2008-11-13 · math.PR · math-ph · 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{6A6PMIWYPCISYOLSKGKQFDGCGJ}

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	2026-05-18T02:15:21.262348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f03cf622d878912c39725195028cc2325dafd8290b243b45d449dacb955f391a

Aliases

arxiv: 0811.2121 · arxiv_version: 0811.2121v2 · doi: 10.48550/arxiv.0811.2121 · pith_short_12: 6A6PMIWYPCIS · pith_short_16: 6A6PMIWYPCISYOLS · pith_short_8: 6A6PMIWY

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/6A6PMIWYPCISYOLSKGKQFDGCGJ \
  | 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: f03cf622d878912c39725195028cc2325dafd8290b243b45d449dacb955f391a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be4398b127451f59d3efbf59b46b8a56dd3c8ebfdeb61e56b6aa736f41b4382",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-11-13T14:24:52Z",
    "title_canon_sha256": "2989796edb143587c849bb8f68a3a3662c833d002d2b2d63cb1c6ebeb92cdebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2121",
    "kind": "arxiv",
    "version": 2
  }
}