Pith Number

pith:JWLB4M7H

pith:2012:JWLB4M7HLJX4F6U42D3VXRM65F

not attested not anchored not stored refs pending

Some infinite matrix analysis, a Trotter product formula for dissipative operators, and an algorithm for the incompressible Navier-Stokes equation

Joerg Kampen

arxiv:1212.2403 v6 · 2012-12-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWLB4M7HLJX4F6U42D3VXRM65F}

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	2026-05-18T02:35:52.599396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d961e33e75a6fc2fa9cd0f75bc59ee966a353b2f246ad35d8358e2f795fe4bf

Aliases

arxiv: 1212.2403 · arxiv_version: 1212.2403v6 · doi: 10.48550/arxiv.1212.2403 · pith_short_12: JWLB4M7HLJX4 · pith_short_16: JWLB4M7HLJX4F6U4 · pith_short_8: JWLB4M7H

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/JWLB4M7HLJX4F6U42D3VXRM65F \
  | 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: 4d961e33e75a6fc2fa9cd0f75bc59ee966a353b2f246ad35d8358e2f795fe4bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a6b1f1b23989f133e5b4aa8d57c694f4a2ab80dc99338f103802c5bab172b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-11T12:48:02Z",
    "title_canon_sha256": "cdb29c000cb6998f9661cab749d091bdf4f9c5dbd8c07971f01f5fc5e36af384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2403",
    "kind": "arxiv",
    "version": 6
  }
}