Pith Number

pith:JCKCELBH

pith:2012:JCKCELBHQZFAKVWZMGSJ4MEOM3

not attested not anchored not stored refs pending

The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities

Guenther Hoermann, Hideo Deguchi, Michael Oberguggenberger

arxiv:1202.1134 v1 · 2012-02-06 · 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{JCKCELBHQZFAKVWZMGSJ4MEOM3}

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	2026-05-18T04:03:04.913753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4894222c27864a0556d961a49e308e66e02d66448b6a84746bf4af0ded6b35bd

Aliases

arxiv: 1202.1134 · arxiv_version: 1202.1134v1 · doi: 10.48550/arxiv.1202.1134 · pith_short_12: JCKCELBHQZFA · pith_short_16: JCKCELBHQZFAKVWZ · pith_short_8: JCKCELBH

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/JCKCELBHQZFAKVWZMGSJ4MEOM3 \
  | 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: 4894222c27864a0556d961a49e308e66e02d66448b6a84746bf4af0ded6b35bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e5e7e8549dda0b5af3802796054110fc0977a3c93e1a0add90133346059084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-06T13:32:35Z",
    "title_canon_sha256": "f3486f2d6787e2ae515dfd34d9a4128d051481cb9231a4cb1c0371899a8a9fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1134",
    "kind": "arxiv",
    "version": 1
  }
}