Pith Number

pith:XI2Z2RIL

pith:2002:XI2Z2RILHRL7LYXQ2HBFUCRWUI

not attested not anchored not stored refs pending

Hydrodynamics from Grad's equations: What can we learn from exact solutions?

Alexander N. Gorban, Iliya V. Karlin

arxiv:cond-mat/0209560 v2 · 2002-09-24 · cond-mat.stat-mech · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI2Z2RILHRL7LYXQ2HBFUCRWUI}

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	2026-05-18T03:42:34.425961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba359d450b3c57f5e2f0d1c25a0a36a2007593e090152de98594cd617e0e5f97

Aliases

arxiv: cond-mat/0209560 · arxiv_version: cond-mat/0209560v2 · doi: 10.48550/arxiv.cond-mat/0209560 · pith_short_12: XI2Z2RILHRL7 · pith_short_16: XI2Z2RILHRL7LYXQ · pith_short_8: XI2Z2RIL

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/XI2Z2RILHRL7LYXQ2HBFUCRWUI \
  | 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: ba359d450b3c57f5e2f0d1c25a0a36a2007593e090152de98594cd617e0e5f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9b4a672d9aa7bcee4a36a0e1b1a22e8bc096991a070669c698e2ce9c1515b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-09-24T15:48:46Z",
    "title_canon_sha256": "528cb651a3823bd7434c00f347f9b6a96254f9002682bad2150dc4871ae9d703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0209560",
    "kind": "arxiv",
    "version": 2
  }
}