Pith Number

pith:XLD37GNT

pith:2009:XLD37GNTSGAF4CEZTM6Z4B2OAJ

not attested not anchored not stored refs pending

A note on the consistency of Hybrid Eulerian/Lagrangian approach to multiphase flows

Jean-Pierre Minier, Sergio Chibbaro

arxiv:0912.2045 v1 · 2009-12-10 · 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{XLD37GNTSGAF4CEZTM6Z4B2OAJ}

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	2026-05-18T04:24:54.836651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac7bf99b391805e08999b3d9e074e026e13de038ed0cab10a2826c80129ead1

Aliases

arxiv: 0912.2045 · arxiv_version: 0912.2045v1 · doi: 10.48550/arxiv.0912.2045 · pith_short_12: XLD37GNTSGAF · pith_short_16: XLD37GNTSGAF4CEZ · pith_short_8: XLD37GNT

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/XLD37GNTSGAF4CEZTM6Z4B2OAJ \
  | 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: bac7bf99b391805e08999b3d9e074e026e13de038ed0cab10a2826c80129ead1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e3d718938842f4e325ca0108e173fff151d87de052e0f19d83d2fb837b398b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2009-12-10T16:48:00Z",
    "title_canon_sha256": "7a128549d699c5975dcd1e460d6a6e377f6d00f7b1b3e5ebfdb087dfd5492574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2045",
    "kind": "arxiv",
    "version": 1
  }
}