Pith Number

pith:WQWQL2WO

pith:2015:WQWQL2WOSB2ENTWWVWVO3PI3VB

not attested not anchored not stored refs pending

Propagation of singularities for generalized solutions to wave equations with discontinuous coefficients

Hideo Deguchi, Michael Oberguggenberger

arxiv:1507.08465 v1 · 2015-07-30 · 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{WQWQL2WOSB2ENTWWVWVO3PI3VB}

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	2026-05-18T01:36:06.366657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42d05eace907446ced6adaaedbd1ba84b966379822e3a64729a1f3f07a7548b

Aliases

arxiv: 1507.08465 · arxiv_version: 1507.08465v1 · doi: 10.48550/arxiv.1507.08465 · pith_short_12: WQWQL2WOSB2E · pith_short_16: WQWQL2WOSB2ENTWW · pith_short_8: WQWQL2WO

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/WQWQL2WOSB2ENTWWVWVO3PI3VB \
  | 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: b42d05eace907446ced6adaaedbd1ba84b966379822e3a64729a1f3f07a7548b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789a9e1867a139d123d8df18d57360270fd812656f1c1ad5a72a98a0d8bd8f02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-30T11:52:20Z",
    "title_canon_sha256": "e37cdd4670e6a236e1575c75290af5b261293b606b2efa3ce62bd00d37eee052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08465",
    "kind": "arxiv",
    "version": 1
  }
}