Pith Number

pith:B5PW6QZ3

pith:2021:B5PW6QZ3B77MVUGDKO4QGVDY4F

not attested not anchored not stored refs pending

Variational multiscale modeling with discretely divergence-free subscales: Non-divergence-conforming discretizations

David Kamensky, John A. Evans, Sajje Lee Calfy

arxiv:2112.09823 v1 · 2021-12-18 · math.NA · cs.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{B5PW6QZ3B77MVUGDKO4QGVDY4F}

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	2026-07-05T03:42:07.281444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f5f6f433b0ffecad0c353b9035478e17329993fd7bd14178122431f7f8fb416

Aliases

arxiv: 2112.09823 · arxiv_version: 2112.09823v1 · doi: 10.48550/arxiv.2112.09823 · pith_short_12: B5PW6QZ3B77M · pith_short_16: B5PW6QZ3B77MVUGD · pith_short_8: B5PW6QZ3

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/B5PW6QZ3B77MVUGDKO4QGVDY4F \
  | 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: 0f5f6f433b0ffecad0c353b9035478e17329993fd7bd14178122431f7f8fb416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004d084c534d5d0138ac96f1f07d4fda371b93a3f76be01868f7f008428d1b8a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-12-18T02:16:43Z",
    "title_canon_sha256": "0d981baa83f073176d3cbb51a98b29a519c2151dc30dec4a199bad8d08fb21ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09823",
    "kind": "arxiv",
    "version": 1
  }
}