Pith Number

pith:MRKCYKCP

pith:2013:MRKCYKCP4OD6F6RKHPKCR4UJQY

not attested not anchored not stored refs pending

Efficient time integration methods based on operator splitting and application to the Westervelt equation

Barbara Kaltenbacher, Mechthild Thalhammer, Vanja Nikolic

arxiv:1311.1224 v1 · 2013-11-05 · 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{MRKCYKCP4OD6F6RKHPKCR4UJQY}

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	2026-05-18T03:07:53.974368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64542c284fe387e2fa2a3bd428f289861f03ef2be83f041f7697a7dbeb2b3b01

Aliases

arxiv: 1311.1224 · arxiv_version: 1311.1224v1 · doi: 10.48550/arxiv.1311.1224 · pith_short_12: MRKCYKCP4OD6 · pith_short_16: MRKCYKCP4OD6F6RK · pith_short_8: MRKCYKCP

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/MRKCYKCP4OD6F6RKHPKCR4UJQY \
  | 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: 64542c284fe387e2fa2a3bd428f289861f03ef2be83f041f7697a7dbeb2b3b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eb8a7e14f2c94604e850211b7f67adc40032b4a9362ee2bc08ecc0bb40a6741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-05T21:17:22Z",
    "title_canon_sha256": "c7946e7e47f203a9b43772a90cc17a8244ebce87b26349e644aae0e4892951d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1224",
    "kind": "arxiv",
    "version": 1
  }
}