Pith Number

pith:BZ7VFPUP

pith:2016:BZ7VFPUPP6UD6KL63ZSEKZUH37

not attested not anchored not stored refs pending

Preconditioning of a coupled Cahn--Hilliard Navier--Stokes system

Christian Kahle, Jessica Bosch, Martin Stoll

arxiv:1610.03991 v2 · 2016-10-13 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZ7VFPUPP6UD6KL63ZSEKZUH37}

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	2026-05-18T00:50:42.390954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7f52be8f7fa83f297ede64456687dff01a186a6c731ec981b96d80a8b054a8

Aliases

arxiv: 1610.03991 · arxiv_version: 1610.03991v2 · doi: 10.48550/arxiv.1610.03991 · pith_short_12: BZ7VFPUPP6UD · pith_short_16: BZ7VFPUPP6UD6KL6 · pith_short_8: BZ7VFPUP

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/BZ7VFPUPP6UD6KL63ZSEKZUH37 \
  | 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: 0e7f52be8f7fa83f297ede64456687dff01a186a6c731ec981b96d80a8b054a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2f4750b508e40a36b0998f8b6f8829e16017c5d286f9de1384946ce30c321c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-13T09:24:09Z",
    "title_canon_sha256": "d33ef1032b479ad197a614eb362b7e59b5e5a6d5df523a4266049063d213c4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03991",
    "kind": "arxiv",
    "version": 2
  }
}