Pith Number

pith:VVNHCJDL

pith:2010:VVNHCJDLB5VRT2P7HHKAZMT5ZS

not attested not anchored not stored refs pending

Time Step Expansions and the Invariant Manifold Approach to Lattice Boltzmann Models

Alexander N. Gorban, David J. Packwood, Jeremy Levesley

arxiv:1006.3270 v1 · 2010-06-16 · 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{VVNHCJDLB5VRT2P7HHKAZMT5ZS}

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	2026-05-18T04:32:33.885090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5a71246b0f6b19e9ff39d40cb27dcc80227455202fce9e2ca159dc8009a322

Aliases

arxiv: 1006.3270 · arxiv_version: 1006.3270v1 · doi: 10.48550/arxiv.1006.3270 · pith_short_12: VVNHCJDLB5VR · pith_short_16: VVNHCJDLB5VRT2P7 · pith_short_8: VVNHCJDL

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/VVNHCJDLB5VRT2P7HHKAZMT5ZS \
  | 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: ad5a71246b0f6b19e9ff39d40cb27dcc80227455202fce9e2ca159dc8009a322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e48b70c8bf4929a07e5c6028976acb611c2dfdb8eacd100d152babfa196ac4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-06-16T16:47:05Z",
    "title_canon_sha256": "fc572f7f2acb861b9923cdf12169f70a146fb872df5484bdd9bf450611790759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3270",
    "kind": "arxiv",
    "version": 1
  }
}