Pith Number

pith:4YAZJTOB

pith:2009:4YAZJTOBRA74GJ3D4CSAEGVUWE

not attested not anchored not stored refs pending

Velocity and energy relaxation in two-phase flows

Denys Dutykh (LAMA), Marguerite Gisclon (LAMA), Yannick Meyapin (LAMA)

arxiv:0912.2422 v4 · 2009-12-12 · physics.class-ph · cs.NA · math.AP · math.NA · physics.comp-ph · 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{4YAZJTOBRA74GJ3D4CSAEGVUWE}

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	2026-06-03T23:06:31.422662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60194cdc1883fc32763e0a4021ab4b117f63c09a65d48f9eea001800195dc43

Aliases

arxiv: 0912.2422 · arxiv_version: 0912.2422v4 · doi: 10.48550/arxiv.0912.2422 · pith_short_12: 4YAZJTOBRA74 · pith_short_16: 4YAZJTOBRA74GJ3D · pith_short_8: 4YAZJTOB

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/4YAZJTOBRA74GJ3D4CSAEGVUWE \
  | 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: e60194cdc1883fc32763e0a4021ab4b117f63c09a65d48f9eea001800195dc43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e579a77f0b71e830295d2a8c647041381e2e537c76b6801819da562371ab4b9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2009-12-12T14:02:11Z",
    "title_canon_sha256": "bc6f72e84980b78ccb8777c21771a2f3b21eec3df98717e78667185b32de1121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2422",
    "kind": "arxiv",
    "version": 4
  }
}