Pith Number

pith:4LX26HAC

pith:2016:4LX26HACZY4LVYWRIGWPW2ZMUT

not attested not anchored not stored refs pending

Refined regularity for the blow-up set at non characteristic points for the complex semilinear wave equation

Asma Azaiez

arxiv:1606.02863 v1 · 2016-06-09 · 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{4LX26HACZY4LVYWRIGWPW2ZMUT}

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	2026-05-18T01:12:39.840994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2efaf1c02ce38bae2d141acfb6b2ca4c13616852eabf99041f6f3290cba2dec

Aliases

arxiv: 1606.02863 · arxiv_version: 1606.02863v1 · doi: 10.48550/arxiv.1606.02863 · pith_short_12: 4LX26HACZY4L · pith_short_16: 4LX26HACZY4LVYWR · pith_short_8: 4LX26HAC

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/4LX26HACZY4LVYWRIGWPW2ZMUT \
  | 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: e2efaf1c02ce38bae2d141acfb6b2ca4c13616852eabf99041f6f3290cba2dec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54ac777ee114edc4b17fc6506159840a08fc32003e954f05e329e49646974a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-09T08:24:47Z",
    "title_canon_sha256": "1521e2287dc0cc58249a3b8e2e486ffe93e22eee4349c62909e8307fbfae58c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02863",
    "kind": "arxiv",
    "version": 1
  }
}