Pith Number

pith:KNKIEOLL

pith:2013:KNKIEOLLB3OTKAXXMFLZC7U6EI

not attested not anchored not stored refs pending

Well-Posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation

Barbara Kaltenbacher, Rainer Brunnhuber

arxiv:1311.1692 v2 · 2013-11-07 · 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{KNKIEOLLB3OTKAXXMFLZC7U6EI}

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	2026-05-18T01:32:10.986506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535482396b0edd3502f76157917e9e221452b72365f0e468626b5e522f987287

Aliases

arxiv: 1311.1692 · arxiv_version: 1311.1692v2 · doi: 10.48550/arxiv.1311.1692 · pith_short_12: KNKIEOLLB3OT · pith_short_16: KNKIEOLLB3OTKAXX · pith_short_8: KNKIEOLL

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/KNKIEOLLB3OTKAXXMFLZC7U6EI \
  | 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: 535482396b0edd3502f76157917e9e221452b72365f0e468626b5e522f987287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eea102ed8b0b82b250e3feabc98e6aa4cdff6683f40b837e96d2e80154f4d47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-07T14:26:55Z",
    "title_canon_sha256": "f4e93e632dccc91fdf69bf27815a0aca850d8a448db1affa49d50459c0728ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1692",
    "kind": "arxiv",
    "version": 2
  }
}