pith. sign in
Pith Number

pith:KS6AV3F4

pith:2010:KS6AV3F4TI2XQTJ4VEUD3RWFGX
not attested not anchored not stored refs pending

Finite time blow-up for a wave equation with a nonlocal nonlinearity

Ahmad Fino (LaMA--Liban, LMA-PAU, MIA), Mokhtar Kirane (MIA), Vladimir Georgiev

arxiv:1008.4219 v1 · 2010-08-25 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KS6AV3F4TI2XQTJ4VEUD3RWFGX}

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 2026-05-18T04:41:53.434627Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

54bc0aecbc9a35784d3ca9283dc6c535cfbf9c07f3f24cc6a53b6a5fab98651f

Aliases

arxiv: 1008.4219 · arxiv_version: 1008.4219v1 · doi: 10.48550/arxiv.1008.4219 · pith_short_12: KS6AV3F4TI2X · pith_short_16: KS6AV3F4TI2XQTJ4 · pith_short_8: KS6AV3F4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KS6AV3F4TI2XQTJ4VEUD3RWFGX \
  | 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: 54bc0aecbc9a35784d3ca9283dc6c535cfbf9c07f3f24cc6a53b6a5fab98651f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bed21e6efb6a064d970b17e16d250466eaba9c8297417a7e9a8b16d897e4a3e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-25T07:25:38Z",
    "title_canon_sha256": "76e7b0ee6657aa6736f3e92b356b7e70ff1359dcc615277ab26644d5385d6370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4219",
    "kind": "arxiv",
    "version": 1
  }
}