Pith Number

pith:F6Q4CRZF

pith:2019:F6Q4CRZFTFQ37TMPXHOWWICFCT

not attested not anchored not stored refs pending

Classification of the blow-up behavior for a semilinear wave equation with nonconstant degenerate coefficients

Asma Azaiez, Hatem Zaag

arxiv:1908.02081 v2 · 2019-08-06 · 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{F6Q4CRZFTFQ37TMPXHOWWICFCT}

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	2026-07-05T02:56:22.462041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fa1c147259961bfcd8fb9dd6b204514da4524bf3b450710d30fd2cb0f9f1d4e

Aliases

arxiv: 1908.02081 · arxiv_version: 1908.02081v2 · doi: 10.48550/arxiv.1908.02081 · pith_short_12: F6Q4CRZFTFQ3 · pith_short_16: F6Q4CRZFTFQ37TMP · pith_short_8: F6Q4CRZF

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/F6Q4CRZFTFQ37TMPXHOWWICFCT \
  | 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: 2fa1c147259961bfcd8fb9dd6b204514da4524bf3b450710d30fd2cb0f9f1d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69cff976e450d2c75afbeb1ab87f084ea9d2b08edfe9f3091d299859a5149266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-06T11:18:18Z",
    "title_canon_sha256": "57134560804e30c8089e84a15ef5b454f6c5ce15c22c3c134a7b4121fdc99f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02081",
    "kind": "arxiv",
    "version": 2
  }
}