Pith Number

pith:KN5G2GPA

pith:2016:KN5G2GPACUECVPDNX4SBBPFHST

not attested not anchored not stored refs pending

Eulerian and modified Lagrangian approaches to multi-dimensional condensation and collection

A. Brandenburg, G. Svensson, N. E. L. Haugen, Xiang-Yu Li

arxiv:1604.08169 v3 · 2016-04-27 · physics.flu-dyn · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KN5G2GPACUECVPDNX4SBBPFHST}

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	2026-05-18T00:39:13.531562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

537a6d19e015082abc6dbf2410bca794c7e2edcc32f422525455c6a07e1c50f9

Aliases

arxiv: 1604.08169 · arxiv_version: 1604.08169v3 · doi: 10.48550/arxiv.1604.08169 · pith_short_12: KN5G2GPACUEC · pith_short_16: KN5G2GPACUECVPDN · pith_short_8: KN5G2GPA

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/KN5G2GPACUECVPDNX4SBBPFHST \
  | 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: 537a6d19e015082abc6dbf2410bca794c7e2edcc32f422525455c6a07e1c50f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ef517da256cc15539ab18c632188ed57ba516c6f3a50196cd20447f90192af",
    "cross_cats_sorted": [
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-04-27T18:31:07Z",
    "title_canon_sha256": "e4de3733d689404d5379915feda82ea10e8518f0397511191ff154562d23d650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08169",
    "kind": "arxiv",
    "version": 3
  }
}