Pith Number

pith:KXDK4DJ4

pith:2022:KXDK4DJ4GEILUFCGKHZWJIDN55

not attested not anchored not stored refs pending

On the wave equation with space dependent coefficients: singularities and lower order terms

Claudia Garetto, Costas Loizou, Marco Discacciati

arxiv:2208.03477 v1 · 2022-08-06 · 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{KXDK4DJ4GEILUFCGKHZWJIDN55}

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	2026-07-05T04:46:40.998401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c6ae0d3c3110ba144651f364a06def6931ec8270209b9c848efbf14328319c

Aliases

arxiv: 2208.03477 · arxiv_version: 2208.03477v1 · doi: 10.48550/arxiv.2208.03477 · pith_short_12: KXDK4DJ4GEIL · pith_short_16: KXDK4DJ4GEILUFCG · pith_short_8: KXDK4DJ4

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/KXDK4DJ4GEILUFCGKHZWJIDN55 \
  | 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: 55c6ae0d3c3110ba144651f364a06def6931ec8270209b9c848efbf14328319c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82011f1db26342e1ac2f1af7484343c530a27bdcf0c3c74766b1a5e75f64df07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-08-06T09:21:20Z",
    "title_canon_sha256": "be816a51a33a86b3b28f2f43125062a10112bb2891689dea466d9c3848bd6d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.03477",
    "kind": "arxiv",
    "version": 1
  }
}